I have been on Scotlands People and I don't think there will be a connection. From SP, the marriage was after Banns according to the forms of the Catholic Church. From SP, James Paterson, Iron Stone Miner, address Uplawmoor, Neilston. His parents are listed as David Paterson, gardener (deceased) and Sarah Paterson, maiden name Whiteburn.
Mary Gallacher is a Bleacher and her parents are James Gallocher and Ellen Gallocher, maiden name McBride.
Priest was James McNamara. Witnesses are a Daniel Gallocher and a Bernard Branigan.
Might help finding the family on the census.
Regards
Murphyz