I think that record might have been one by Ann Stephens, a young actress [played the scheming minx in The Franchise Affair back in the 50s]. Before that she was a child actress {Noel Coward's daughter in "In Which We Serve"}, & IIRC made some Christopher Robin records when she was about 11 which were popular, esp "Changing the Guard". Is it one of these you are looking for?

~Michael~