The exact nature of their relationship isn't clear, and she had a boyfriend at home in Maryland.Authorities doubt certain aspects of his story, including whether the pair even went into the water, and say they're seeking witnesses to build their case against him.
But Giordano apparently struggled with relationships after his first marriage ended.
He and his second wife, whose phone rang unanswered Saturday, divorced in 2008 after just two years.
Ex-wife: 'He can't control his anger' His family has stayed mum during the investigation, though a close friend said he can't imagine Giordano being involved in someone's death.
Court records and former romantic interests reveal a man who could by turns be charming and threatening and who's had several volatile relationships.
The woman's lawyer says her client was frightened of Giordano.