ORLANDO, Fla. -- A war of words has broken out between the family of Casey Anthony and Zenaida Gonzalez's attorney, who said on Monday that Cindy Anthony "seems to be enjoying this whole thing."

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PHOTOS: CSI Checks Casey's Car
PHOTOS: Dive Search, Confrontation
PHOTOS: Prayer Vigil For Caylee
PHOTOS: Casey Baby Photos

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Casey Anthony, 22, remains jailed on first-degree murder charges in the disappearance of Caylee, who is now 3 years old and was last seen in mid-June.

Casey Anthony told investigators that she left Caylee with a baby sitter named Zenaida Gonzalez at the Sawgrass Apartments in Orange County, and the pair was gone when she returned to pick her daughter up.

Attorney John Morgan, who represents a woman by the name of Zenaida Gonzalez with the only known connection to the apartment complex, has filed a lawsuit against Casey Anthony, saying his client's name has been tarnished and Casey Anthony's claim has affected his client's ability to find employment.

"I think the mother (of Casey Anthony) -- in a way -- seems to be enjoying this whole thing," Morgan said. "Instead of talking about chasing ambulances, I would be chasing after Caylee. I would be in the woods. I would be door to door."

The harsh words come after Cindy Anthony lashed out at Morgan following a prayer vigil on Sunday.

"I think the whole thing is ludicrous," Cindy Anthony said. "Attorney Morgan -- it's frivolous -- he needs to just get back to chasing the ambulances."

"Even though she throws those stones at me, I still feel a great amount of smypathy and empathy for them because they've lost their granddaughter -- probably -- and their daughter is in jail," Morgan said.

Morgan said he is attempting to schedule depositions with Casey Anthony and her attorney as early as this week.

Casey Anthony has filed a counter-suit against Gonzalez.

Divers Resume Search

Meanwhile, a dive team returned to Blanchard Park on Monday to continue a search for Caylee's remains in the Little Econ River.

The search has been organized by celebrity bounty hunter Leonard Padilla, who is leaving Orlando to attend a business meeting in California. Padilla said he plans to return to Orlando later this week.

Padilla has not yet taken a lie-detector test, which was requested by the FBI last week after Padilla caused a media frenzy by claiming to locate what appeared to be bone fragments and children's toys possibly belonging to Caylee during the search of the river. FBI agents apparently want to verify that Padilla did not plant the items.

Divers have not found anything related to the Caylee case during their weeklong search.

Report: Party Life Constrained

A Local 6 News investigation into the timeline of the Casey Anthony case has revealed how the woman's well-documented partying was restricted by the needs of Caylee.

Local 6 News reporter Tony Pipitone said records show Anthony's partying was constrained by what she called "mommy duties," especially in the month of May.

On May 3 at 4:21 p.m., Anthony and then best friend Amy Huizenga made plans to attend a party.

"Any more details on that party?" Anthony asked.

But about two hours later, Anthony sent Huizenga a text message reading, "Cross your fingers that my parents get back soon. God I need this tonight."

"But apparently, her daughter, Caylee, needed her more," Pipitone said.

Two hours later, Anthony sent another message.

"I'm trying to get a hold of my mom to see when they're coming home. Sitting around waiting sucks," Anthony said.

Three hours after that, Anthony gave up on her party plans, telling Huizenga that she would take a rain check.

"Downtown tomorrow? My mom owes me," Anthony sent in a text message.

About a week later, a boyfriend sent a message about his regret over Anthony being absent from the party scene.

"Thought you were coming out last night," it said.

"Yeah, so did I," Anthony replied. "Mommy duties."

On May 23 at 7:48 p.m., Anthony told Huizenga, "I'm going to stay home," promising to go out the next night. "I already cleared it with my madre."

Anthony attended a party that weekend, which combined with her daughter's disappearance, gained her national notoriety, Pipitone said.

On May 24, Anthony sent Huizenga a text that said, "The cops came around 1:15 and broke up the party."

The next night, Anthony attended an "anything-but-clothes" party and sent another message to Huizenga.

"You will officially see the American flag in all its glory tonight," Anthony's message said.

Anthony also attended a Friday night hip-hop party at the Fusion nightclub, telling a former boyfriend on June 13, "You guys should definitely come. $5 cover, super hot shot girls, a hot body contest."

Three days later, Anthony moved in with Tony Lazzaro, who ran shows at the nightclub, where infamous photographs of Anthony were taken on June 21.

"Casey and friends vamp and dance the night away. Not a care in the world. Even as police suspect Caylee was by then dead and her body possibly disposed of just days earlier," Pipitone said.

Detectives: Car Still Smells Of Death

Anthony's defense team last week brought in a well-known forensics expert to examine her car, which still reeks of death, according to detectives.

A judge recently granted Anthony's attorney, Jose Baez, to have access to the vehicle, which was found abandoned months ago at an Orange County Amscot. Scientists have concluded that the trunk contained signs of possible human decomposition and unusually high levels of chloroform.

Baez said he wanted an independent examination of the white Pontiac Sunfire and brought in Dr. Henry Lee, who has worked in several high-profile cases, including the O.J. Simpson murder trial, to assist in the inspection.

In 2003, a judge ruled that Lee either hid or accidentally destroyed key evidence in a murder trial.

Anthony's car has been stored at the Orange County Sheriff's Office since being recovered after Anthony's arrest in July. Anthony's mother, Cindy Anthony, said on a 911 call reporting Caylee missing that the car smelled like there had been a dead body in it.

Cell Phone 'Dead Zones'

A Local 6 News report about Anthony shows that "dead zones" on her cell phone may hurt the investigation into the case.

Local 6 News investigative reporter Tony Pipitone analyzed hundreds of text messages and phone calls placed and received by Anthony in the two weeks after Caylee disappeared and used a database program to determine how much time passed between each ping.

There were 24 times when three or more hours passed with Anthony's phone remaining silent, Pipitone reported.

"And when you account for sleep and periods where she appeared to stay in the same place, we are left with three gaps -- or dead zones -- that raise some questions," Pipitone said.

The first "dead zone" was June 17 from 5:23 p.m. to 8:23 p.m. Anthony's phone pinged a tower close to her boyfriend's apartment near the University of Central Florida and then twice pinged a tower near Blanchard Park before going silent. The park was searched but nothing was found. In the time it took Anthony's phone to ping another tower -- three hours later -- she could have traveled as far away as Palm Bay or Ormond Beach and returned to Orange County.

June 17 was a day after Caylee was seen alive by her grandfather, George Anthony, who said his daughter and Caylee left his home at about 12:50 p.m. the day before.

Scientific evidence suggests that human remains that decomposed in the trunk of Anthony's car was there for up to 2½ days after death, Pipitone said. That would mean if Caylee died on June 16, investigators may want to focus more on June 18 into June 19, which contained two dead zones on her cell phone, he reported.

On June 18, Anthony's phone went silent at 6:57 p.m. and did not ping another tower until 8:32 a.m. June 19. In both cases, her phone pinged a tower near her boyfriend's apartment. Her whereabouts during that time is not known.

On June 19, Anthony's phone pinged near her boyfriend's apartment at 4:54 p.m., then her movements head south and east, according to cell phone pings, Pipitone said. "Heading east and hitting (a) cell tower on Lake Underhill Road ... but from here, her cell phone goes dead for three hours and 17 minutes. Where could she have gone in that time?" Pipitone said.

The last ping from the Lake Underhill tower was at 5:45 p.m., and the phone then went silent until a ping near her boyfriend's apartment. She then called her parents' home at 9:13 p.m., and there's no indication where Anthony was during the time frame.

"If this is the time Casey may have disposed of the body in her car trunk, there's no indication where Caylee may be either," Pipitone said.

Watch Local 6 News for more on this story.