The former Loose Women panellist displayed her blossoming baby bump in a pretty blue dress at the Taking Hollywood event.
Claire was lending her support to the book by Ross King, a showbiz journalist who has written a novel about celebrity scandal and Hollywood beneath the glamour.
After the party, Claire tweeted: "A lovely evening."
The 43-year-old announced her pregnancy in May when she was at the five-month mark. In a posting to Twitter, she combined her happy baby news with the success of her stage show Sex and the Suburbs.
"Thrilled to say my show that I co wrote Sex and the Suburbs has opened to rave reviews,but the BEST news is I'm 5 months pregnant!!"
Claire is expecting the baby with ex-fiance Daniel Riley. They quietly split in December but remained close and are looking forward to raising the child together.
A rep for Claire said: ""Claire could not be happier. To be pregnant and starring in her own show in her home town of Liverpool is all her dreams come true at once."
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Stars who welcomed babies in 2014:
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