Maggie, I have transcripts of the Maughold parish records, which include many Ramsey entries.
Could this be Jessie's burial, in which case she was Heaney, like her son?

Jessie HEANEY 75 years of 5 Queen's Pier Road, Ramsey, buried Maughold 28 Feb 1961.

Other Heaney burials in Maughold were:
Florence HEANEY 1yr9mths Ramsey 5 May 1911
Stephen Harrison HEANEY 36 yrs. Westbourne Road, Ramsey 16 Apr 1912
Theodosia Emily HEANEY 84 yrs. 4 Coburg Road, Ramsey 2 Aug 1924
Dorothy HEANEY 7 mo.18 da 40 College Street, Ramsey 5 Apr 1931

Lots of Starkey burials - let me know which names if you'd like me to check those.

Sue