State police say the woman found dead on the grounds of the Veterans Affairs hospital in Montrose had a criminal history, but still don't know what events led to her death.

"We want to know who the last people to see her alive were, where she was, what she was doing on Wednesday, Thursday and Friday," says a police official. "Where did she go? Why would she be up at the VA?"

State police say they're checking every lead and are questioning several people of interest in the murder of 39-year-old Sabrina Rasa, who a medical examiner determined was strangled to death.

But state police aren't saying whether she was strangled at the VA hospital or somewhere else.

Troopers also say the Peekskill mother had a teenage son, was homeless and had been arrested numerous times over the years for using crack cocaine and was a known prostitute.

On Monday fliers were passed out by authorities in hopes of finding more clues in Rasa's death.