Paris Hilton is furious with Cher's son for claiming the two had sex and worrying he caught a sexually transmitted disease from her. ELIJAH BLUE ALLMAN, Cher's son by rocker GREGG ALLMAN, went on the raunchy Howard Stern radio show last week (ends27AUG06) boasting he had a fling with Hilton before she became famous. Allman, who is the lead singer and guitarist for the band Deadsy, claims that after the encounter he became so worried he might have contracted something he scrubbed down his private parts with household bathroom cleaner Tilex. According to MSNBC's The Scoop, a source claims Hilton is "not happy" about his comments, even though he described Hilton as a "sweet girl." Allman also said he had sex years ago with Hilton's reality show co-star and former best friend Nicole Richie and claims the two are still friends.