THERE was a big guessing game before model Samantha Burke was identified on Friday as Jude Law‘s baby mama, who’s six months pregnant with Law’s fourth child. The British star — who’s dated Sienna Miller, Lindsay Lohan and Lily Cole — was a busy boy in the past year. Law was known for getting frisky with dancers at Chrystie Street nightclub The Box, in which Law is an investor. One of the women, who is now a Las Vegas dancer, even spent three days with Law at the Gramercy Park Hotel in October, and a friend of hers told Page Six, “She was definitely dating Jude for a while.” A source said, “Jude sleeps with so many different women. A lot of names were going around as to who the mother of his baby could be.” A rep for Law did not return multiple calls and e-mails seeking comment.