“Brooke had a very smooth delivery, with her fiancé David by her side,” rep Nancy Iannios tells PEOPLE exclusively. “They are thrilled to be back at home now with their gorgeous baby girl. It’s a very exciting time for them.”
Brooke has two other children Neriah, 6 and Sierra Sky, 4, from her first marriage to plastic surgeon Garth Fisher. David and Brooke have been engaged since the summer. The two have known each other for years, but started dating in 2005, during Rock Star: INXS.
As for their wedding, Iannios says, “Brooke and David are looking forward to getting married sometime this spring.” Burke told PEOPLE that they were waiting for the baby to arrive before they began planning. “We’re not going to stress ourselves out,” she said.