'Baby Hope' cousin admits fatal attack two decades after the 1991 murder Conrado Juarez, 52, is arraigned at Manhattan Criminal Court for the alleged murder of Anjelica Costello. Four-year-old Anjelica Costello was killed in 1991 Conrado Juarez, 52, arrested after two decades Overheard laundromat conversation led to arrest IT WAS a murder that wrenched hearts and baffled New York's best detectives and prosecutors for two decades. On a summer day in 1991, the body of an emaciated 4-year-old girl was found naked and bundled with twine inside a filthy cooler near the Henry Hudson Parkway in New York. Investigators called the girl "Baby Hope" - and on Saturday their own never-flagging hopes were fulfilled when they finally cracked the case. The turning point came this summer, in a laundromat, when one woman overheard another woman say that years ago her little sister had disappeared. The first woman had also seen one of the "Baby Hope" fliers police continued to post, and called the cops. The tip led the the arrest of Conrado Juarez, 52, who sources said was a Mexican illegal alien dishwasher at the restaurant Pesce Pasta. Juarez was the girl's cousin, and was staying with her in a crowded apartment, officials said. Now in custody for murder, he has made what sources called a detailed confession to sexually assaulting and smothering Anjelica Castillo - the girl in the cooler's real name. Police continued to distribute posters calling for information into 'Baby Hope's' murder. Juarez told cops that on the night of her death, he came home drunk, according to Jerry Giorgio, a former detective on the case who has seen the confession. "It was nighttime, and she was in the hallway for some reason - maybe she was going to the bathroom," Giorgio said. He said he just took her by the hand and she went with him. She may at one point have started to yell or scream, looking for help. That's when he put the pillow over her face. Juarez told cops it was his now-deceased sister, Balvina Juarez, who suggested they put the body in a cooler and take it by livery cab to Washington Heights, where it would rot for more than a week, according to a source. "A tip produced a lot of investigative work, and with great detective work we were able to track people down and interview them," Police Commissioner Ray Kelly said. Cops recently tracked down Anjelica's mother, also a Mexican immigrant, in early August and used a ruse to get her to lick and envelope, a source said. Late in September, DNA testing confirmed her maternity of the tragic tot, the source said. Police Commissioner Ray Kelly. The mum has nine other children by three men, and never reported her child missing. Finally confronted by investigators, she blamed the father, who had custody at the time, said one law enforcement source. The girl was being cared for by her dad's sister, who was Juarez's mother. "She's a piece of s**t," one law enforcement source said of the mother. She tried to put all responsibility on the father. Law enforcement sources believe she kept silent for fear of deportation; she told cops she feared the "abusive" father. Anjelica's sister, now in her 20s, told police she remembers travelling to Mexico with her father after leaving the girl with her mother, police sources said. She never saw her sibling again. "Investigators never stopped searching for the person who ended this young girl's life," District Attorney Cyrus Vance said, noting that the original prosecutor, Melissa Mourges, now head the District Attorney's Cold Case Unit and is still on the case. Juarez was ordered held without bail at his arraignment on Saturday. His lawyer complained that he had been questioned without representation for nearly 14 hours.