By peoplestaff225
Updated June 29, 2005 12:20 AM

Heath Ledger and his pregnant girlfriend, Michelle Williams, are making themselves right at home in New York. Monday night, Ledger sat at the un-air-conditioned, steamy bar Sweet & Vicious on Spring Street with an unidentified woman "guzzling beers." But when Williams showed up, Ledger "cuddled her, rubbed her belly and did not drink a drop," says PageSix. Yesterday, the duo went to Buy Buy Baby on Seventh Avenue and picked up "fabric and furniture."