He dated Adrienne Frantz from Bold and Beautiful fame for many , many years. His wife's name was Laurie F not Frantz. though. She was not a singer or actress just a did a little modeling and worked her ass off to support the Goo's while they were trying to make it in the beginning.
He's 41 today, 5 December 2006, is that what got you wondering?
He was married to another singer-actress Laurie Frantz, from 1993-1997. But has skirted around commitment since. He had a long term relationship with Adrienne somebody, but that fizzled out.
Then he met a gal working for charity fundraising in a recordshop in New York City (Melina). He has kept her out of the public eye, except to say that they are very happy and (from early 2005 to late 2006, at least) he is happy to be living with someone, again. No hints of wedding bells, though. So if he has got hitched, it's a secret.
Rzeznik doesn't have kids. But he was eager to pronounce recently that troubled teens should be sent to strict Catholic schools (like he was). So that they learn to fear adults and that will teach them to be good members of society (or so he reckons).
