New York police Assistant Chief Joseph Reznick went this weekend to visit the grave of a child long known as Baby Hope, as he's often done in the past two decades, but this time he came with more answers than questions about her death.

Her name was made public the same day a distant cousin confessed to sexually abusing the girl, then suffocating her, police said.

So Reznick replaced a placard on her headstone at St. Raymond's Cemetery that read "the identity of this little girl is unknown" with one that spelled out her name, Anjelica Castillo.

For investigators including Reznick, who worked as a lieutenant in 1991 when the body of the unknown 4-year-old was discovered inside a picnic cooler discarded along a Manhattan highway, the long-awaited answers were both a horror and a relief.

"Her picture, and now this confession, I'm going to have in my mind for the rest of my life," Reznick said.

Conrado Juarez, 52, was charged Saturday with murder in the girl's death, one of New York's most notorious cold cases.

"This case really touched us, because she was just an innocent child, we all have kids or know them," said retired Detective Jerry Giorgio, who also investigated the case. "I know it haunted me."

The girl's body, naked and bound, was found in a 32-quart blue cooler discovered by construction workers in 1991.

She weighed just 20 pounds, half that of an average 4-year-old, Reznick said.

But no one reported her missing, and detectives had no leads.

"It became just intensely frustrating," said Giorgio. "The frustration stayed with a lot of us, which makes it more relieving now."

Affection grew for the girl they nicknamed "Baby Hope." Officers organized a funeral for her in 1993, and hundreds attended.

They paid for her gravestone at the Bronx cemetery and visited annually.

The girl's mother, Margarita Castillo, refused yesterday to tell reporters why she never reported her daughter missing or whether she knew she had been killed. The family will never have peace, she said in Spanish.

Detectives made a publicity push this summer on the 22nd anniversary of the discovery of her body, canvassing the area, plastering posters, asking for anyone with information to come forward.

This time, it worked. A tip came in that led to the girl's mother, her sister and a birth certificate.

The evidence led them to Juarez, a 52-year-old cousin of the girl's father, Pulaski said.

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Ex-doctor sentenced in sexual abuse case ... LI students named Regeneron finalists ... LI Volunteers: America's Vetdogs Credit: Newsday

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