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Heaven Rain Charvet was born at 2 p.m. at St. John's Hospital in Santa Monica. She weighed 6 lbs. 8 oz. and was 18 3/4 inches long.
"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."
Heaven joins half sisters, Neriah, 6, and Sierra Sky, 4, Burke's daughters with ex-husband plastic surgeon Garth Fisher (they split in 2005). Charvet proposed to Burke during a summertime party in August 2006. "It was a total surprise," Burke told PEOPLE. "It was all very romantic. He's my best friend."
Charvet gave his fiancé an eternity band because, "it's forever," Burke explained, adding that 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.
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