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The 49-year-old singer – who splits her time between two homes in West Lothian, Scotland – wants to invite celebrity pals including Piers Morgan and Simon Cowell along to the gathering.
A source said: “We’ve heard Simon Cowell and Piers Morgan have been invited, and Susan’s very keen to see Piers again.”
However, a spokesperson has confirmed the celebrities are unlikely to attend as it is a simple party for close friends.
The representative said: “The party was only ever for close friends and family.”
Susan chose to move out of her council house in West Lothian and into a new, five-bedroom £300,000 home in Blackburn, Scotland after she returned from a trip to find an intruder.
She has since had trouble with a crazed fan who has her personal phone number and has been calling claiming she is a relative.
Her brother Gerry revealed: “He is calling Susan and pretending to be me or other relatives. It's been going on for a while. Susan knows who I am when I get on the phone. She never mistakes me for him.
"There are some weird people around. But this one is stalking her and has got her number. It is serious. Stalkers can become dangerous."