The new mum took to Twitter.com to announce the arrival of their baby girl on Friday (22May15).

She writes, "Sorry to have been away from Twitter for a while, I've been developing a new project...

"We've got a daughter!!! Barbara Elizabeth June Mitchell, very small and sweet. All three of us are extremely happy and sleepy."

Mitchell, one half of comedy duo Mitchell and Webb, wed Coren in 2012.