I was wondering if your gran might be the Lily I'm trying to track down? She almost fits ...
My grandad, John Tuddenham had a sister Lily who he was devastated to have lost touch with . There was also another brother Robert.
I have an Aunt ne Lily Niven tuddenham named after her.
This lily was born in 1913 - buy near Dornoch ( so possibly not a match ?)
Also although not born Lily love she was married to a William Love who died in 1941 .. So would have been lily love at the time of any subsequent marriage.
Does any of that sound like a possible match?