Hi Bennet,
I found the following marriage registration
Mathew Weire
Age: 58
Born: Ireland
Residence when Married: Belleville
Widower
Occupation: Labourer
Parents: James Weire and Mary Deniham (?)
Elizabeth Lawlor
Age: 26
Residence when married: Belleville
Born: Ontario
Spinster
Parents: Daniel Lawlor and Mary Trophy
Religion of Bridgeroom and Bride: Catholic
Date of Marriage: May 5, 1878, Belleville, Ontario, County of Hastings
So, with different parents names, do you think this might be your Mathew still?
Karen