Hi Jokdy,
Looks like your Hessie was really Esther. Here's what I found.
In the old private burial ground between the churchyard and the cemetery. Plot number 222 holds the following -
ROBERT HOLMES. Cambusnethan, aged 16 weeks.
Parents - Richard Holmes and Agnes Kelly.
Interred 21st August 1876.
HESSIE HOLMES. Housewife, Cambusnethan, aged 75 years, married.
Parents - John McAhon and Isabella Duffen.
Interred 11th February 1882.
ROBERT HOLMES, labourer, Motherwell Poorhouse, aged 84 years, widower.
Parents - George Holmes and Martha McMullen.
Interred 13th May 1891.
ROBERT HOLMES, Bellshill, aged 1 year & 9 months.
Mother - Janet Holmes.
Interred 28th September 1908.
JAMES HOLMES, coalminer, Bellshill, aged 75 years, widower.
Parents - Robert Holmes and Esther McGechie.
Interred 20th December 1916.
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2 more burials, both in public (or common) ground.
WILLIAM HOLMES, Wishaw, aged 9 months.
Parents - James Holmes and Margaret Crossart.
Interred 18th January 1876.
MARGARET HOLMES, housewife, Bellshill, aged 52 years, married.
Parents - James Crossan and Elizabeth Diffen.
Interred 12th September 1908.
I don't understand why the above Margaret wasn't burried in 222 along with her husband. It may have been a mistake on the paperwork, who knows.
At least you have a clue to Esther/Hessie's surname. McAhon nowadays would probably be Mahon. It's a very Irish surname, it sounds like Mach-on, the way we Scots say loch. Note also, the spellings of Crossan/Crossart.
Good luck with your research,
Lodger.