Luke
Your lady is not buried in any Oldham council cemetery

does she have family in Rochdale?
The Oldham burial website is not that good but 100% better than Salford/Rochdale who don't have one, and Manchester is just 95% fantastic.
Bit of history
Manchester council sent all there burial registers overseas to be photographed and transcribed, that is why all the records are online.
Oldham council took a different approach they are not putting old records online unless an old grave has to be reopened, they then create that entry on bacas with all data from the register.
I am not sure how Tameside are doing it but it seems to be the same way as Oldham.
You will need to find her orbs in the local newspaper to find the burial location.
Regards
Ken