Baby Lisa's Family Mark Her First Birthday Privately

Missing Lisa Irwin turns 1 Friday, and as the investigation into her disappearance continues, her family will mark the day by reflecting in private.

“This is a very tough day for them,” one of the family’s attorneys, Joe Tacopina, said on Good Morning America of Lisa’s parents, Deborah Bradley and Jeremy Irwin.

Baby Lisa Case: Tantalizing Mystery of a Cell Phone Call

Is it a phone call that could help crack the case of missing Baby Lisa Irwin?

More than four weeks into the investigation of the 10-month-old who vanished in the pre-dawn hours Oct. 4 from her parents’ Kansas City, Mo., home, police aren’t saying.

But it’s among the more intriguing developments in case: a possible call, placed the night Baby Lisa went missing from one of three cell phones that her parents believe was taken from the house along with their daughter.

Why Won't Baby Lisa's Parents Talk to Police?

Accused during police questioning in the disappearance of their missing daughter, the parents of 10-month-old Lisa Irwin want a new set of detectives to meet with them before they will agree to sit down for any further interrogation.

That’s the word from an attorney, Cyndy Short, who tells PEOPLE that her clients, parents Deborah Bradley and Jeremy Irwin, are on “an emotional roller coaster” as the search for Lisa hits Day 23.

Baby Lisa Case: Mystery Man in New Surveillance Video

Was the man seen walking post-midnight near the home of missing 11-month-old Lisa Irwin carrying a baby that did not belong to him?

Police won’t say, and Lisa’s parents don’t know. But that report, along with a second report of a man carrying a baby a short distance away around 4 a.m. on Oct. 4 – the time that Lisa was reported missing from her crib – is “unbelievably substantial,” says the attorney for parents Deborah Bradley, 25, and Jeremy Irwin, 29.

Baby Lisa Case: Cadaver Dog Picks Up Dead Body Scent in the Family Home

A cadaver dog searching the home of missing baby Lisa Irwin – who disappeared 17 days ago – has picked up the scent of a dead body in her parents’ bedroom, according to a newly released document in the case.

Baby Lisa Disappearance: Police Conduct a 17-Hour Home Search

A search warrant kept the parents of Baby Lisa Irwin – missing for 16 days – barred from their Kansas City home Wednesday as local police and the FBI spent nearly 17 hours inside and out looking for evidence to assist in their investigation.

Deborah Bradley and Jeremy Irwin, the parents of Baby Lisa (who was 10 months old when she was reported missing from her crib by the couple in the early morning hours of Oct. 4) have not sat down with detectives to answer questions since Oct. 8.

Baby Lisa's Mom: 'We Have Absolutely Nothing to Hide'

When Jeremy Irwin returned home from work in the early morning hours of Oct. 4, he found his fiancée, Debbie Bradley, and two sons asleep.

But when he peeked in on then 10-month-old daughter Lisa, her light was on and the crib was empty.

That, Irwin tells PEOPLE in this week’s cover story, “is when all hell broke loose.”

Parents 'Had Nothing to Do' with Baby Lisa's Disappearance, Says Lawyer

The parents of missing Baby Lisa have hired a high-profile lawyer, who quickly proclaimed their innocence and said they were focused on finding the 11-month-old girl.

Joseph Tacopina – who once represented Joran van der Sloot, the suspect in the Natalee Holloway disappearance – says that “there’s no question in my mind” that Lisa’s parents Deborah Bradley and Jeremy Irwin “had absolutely nothing to do with the disappearance of their baby girl.”

Deborah Bradley: I Was Probably Drunk When Baby Lisa Disappeared

On the night her 10-month-old daughter disappeared, Lisa Irwin’s mother drank enough wine at home while relaxing with a neighbor that she has no recollection of whether or not she checked on her daughter or turned off the house lights before she went to bed.

Did the alcohol cause her to black out? “It’s a possibility,” Deborah Bradley tells Fox News Channel.

Baby Lisa's Uncle Identified as Man in Surveillance Tape

The man seen on a surveillance tape shopping with Baby Lisa’s mother has been identified as the woman’s brother, according to a news report.

Deborah Bradley and her brother were purchasing wine for a family event at the Festival Foods near her home in Kansas City, Mo., family members tell KCTV5.