While Morgan's fellow Britain's Got Talent judges Simon Cowell and Amanda Holden did not attend the weekday wedding, Holden did wish the couple well.
"I could not be happier for my lovely friend!" she wrote in a Twitter posting. "Celia his wife is fabulous! Big party for us lot very soon."
Morgan had his divorce with ex-wife Marion Shalloe finalized in 2008. The couple has three sons together.
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