Claire, 43, took Jaxon along to the launch of the Disney Store's 'Share the Magic' Christmas campaign in London last night.
The former Loose Women panelist beamed with joy as she showed off Jaxon, who was born on 29 September, to photographers.
But it seems that the excitement was all too much for the tot, who spent much of the event fast asleep in his pram.
Claire, who is best known for playing Lindsey Corkhill in British soap Brookside, looked radiant in black leggings and a blue blazer.
The TV star announced that she and her former fiancé Daniel Reilly were expecting a baby together back in May.
The couple had split shortly before Claire discovered that she was pregnant, but have since rekindled their relationship.
"When we split, I was confident it wasn't my only chance to have a baby," Claire told the Mirror shortly before giving birth by planned caesarean. "That kind of thinking could keep you in a relationship, but I knew I could do it on my own.
"I am so glad I am having his baby because he is a wonderful person and he has really looked after me and been so supportive through everything,"
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