My Name Is Earl's Jaime Pressly Has a Son
05/11/2007 AT 11:00 AM EDT
The child was born at 7:31 a.m. in Los Angeles and weighed 6 lbs. 4 oz.
The Emmy-nominated actress, 29, who also designs the clothing line J'aime, told PEOPLE the name is part of a running joke – the Cuban-American Cubiche, 33, does a Desi Arnaz impersonation, calling Pressly "Luuucy" when he comes home at night. James is her father's name.
The couple were friends for more than nine years and dated for a year and a half before getting engaged in October, when Cubiche presented Pressly with a ring they had designed together.
"I was just kind of peeking around every corner and searching in every drawer to see when I was going to get it," she says.
The couple are in no rush to get married. "I do want to be a princess for a day," Pressly told PEOPLE last year, "but it's not necessary to do that before you have kids. A lot of women do it later."