Hello Colin, here is the info you need.
Annie, as you mentioned, was a patient of the former Rauceby Hospital.
She was buried in plot 49 of the Rauceby Hospital [new] cemetery on the 15 February 1936, age 60. The vicar who performed the service was a Mr.Pye. Her address is listed as Kesteven County Council for some reason?
I gather she only had a bronze marker and in the new cemetery there are only 2 or 3 gravestones left. That is a whole new story. The cemeteries have been left overgrown and in complete disrepair. This is being looked into.
My cousin is in there as well plot 174, again no headstone and all of the bronze markers are missing.
Really hope this is helpful as I know what it's like!

regards
Phill