OAK BEACH, N.Y. — Police on Long Island say they found lip gloss possibly linked to a missing New Jersey prostitute, but no sign of her remains.

Shannan Gilbert’s disappearance in May 2010 from a gated community on Long Island’s south shore led to the unexpected discovery of what would eventually become 10 victims of a suspected serial killer.

Earlier this week, police found her jeans, shoes, purse, ID and cellphone in a marshland near where she disappeared. On Friday, they said they found lip gloss only steps from where the purse was found.

Police said Friday they suspect she may have fallen into a hidden drainage ditch and drowned. They said the deaths of the 10 people and Gilbert’s disappearance appear to be a coincidence.

Police said they will resume searching on Monday.