The buzz began when the French newspaper Le Figaro reported on its Web site Albert had been sued over paternity in 1992 by Palm Desert resident and ex-waitress Tamara Rotolo, who gave birth on March 4 of that year.
The newspaper said the suit alleges the child was conceived during Rotolo's vacation in Monaco nine months earlier.
Albert acknowledged spending time with Rotolo, but the lawsuit was later dismissed on jurisdictional grounds.
The Palm Springs Desert Sun said numerous photographers from European publications are camped around the girl's high school in hopes of getting a shot of the girl Le Figaro describes as "mature, sweet and intelligent."
Albert is the unmarried son of the late actress Grace Kelly, and has ruled Monaco since the death of his father, Prince Rainier III, in April 2005. Last year, he acknowledged a 2-year-old son conceived with a flight attendant from Togo.