Muse singer Matt - who welcomed the baby into the world on Saturday (09.07.11) - revealed both Bing and Bingham had a personal connection to him and his fiancee, with her stepfather Kurt Russell's father being named Bing.
He wrote on twitter: "For those wondering, Bingham is my mum's maiden name and Bing Russell was Kurt's dad. Family connections all round!"
Tweeting yesterday (04.07.11), Matt confirmed the 'Bride Wars' actress was doing well, and added the labour was a relatively short four and a half hours.
He said: "Mum and baby are strong and healthy. Mum was a warrior, Bing popped out after 4.5 hours of intense pushing!"
The couple have asked for Celebration trees to be planted for their son, the same thing they asked for at Kate's baby shower.
Matt and Kate - who has a seven-year-old son, Ryder, with ex-husband Chris Robinson - plan to spend the next few weeks at the rocker's London home while Muse record a new album.