James Hay married an Ellen Grant Eaton in Shotts district in 1880, so a potential match for Mary Jane Eaton Hay's parents.
Mary Jane's parents are James Hay and Helen Grant Eaton.
Mary Ann Eaton Livie is not a match.
Ellen Eaton HAYDeath 11 Oct 1935 Queensland
Father's name: Eaton
Mother's name:
Agnes MORROWHelen Grant EATONBirth 13 Nov 1861 Uphall, West Lothian, Scotland
Father:
Samuel Eaton Mother:
Agnes MORROW1871c Civil Parish: Carnwath County: Lanarkshire
Samuel Eaton 32 Ireland occ Coal Miner
Agnes Eaton 33 Ireland
Martra Eaton 12 Ireland
Hellen EATON 10 Uphall, LinlithgowElizabeth Eaton 7
Edmund Eaton 5
John Eaton 3
Robert Eaton 14
Is this Mary Jane HAY's parents on 1901 census?
Address: Shirvadyke Civil Parish: Kirkintilloch County: Dumbartonshire
James Hay 40 Abercorn, Linlithgowshire occ Ploughman
Helen Hay 38 Broseburn, LinlithgowshireJohn Hay 12 Ecelesmachan, Linlithgowshire
Martha Hay 6 Hamilton, Lanarkshire
Emily Hay 4 "
William Hay 1 Maryhill, Dumbartonshire
Were Mary Jane's parents buried in 1935?
Taabinga Cemetery, Taabinga, South Burnett Region, Queensland, Australia
https://www.findagrave.com/memorial/182878059Edit - this appears to be James Hay buried in Taabinga Cemetery death entry
James HAYDeath 11 Sep 1935 Queensland
Father's name:
James Mother's name:
Agnes MORROW