I knew I had seen this name before. Unfortunately I'm not connected. Just letting you know a possibility for the Mckinley name, read the minister's name 2nd child.
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. James Paton b 1756 in Glasgow weaver and Mary Marshall m unknown FHL# No record of marriage IGI
Children

_ IGI lists two children born Lanark
Robert Dick Paton b 1869 bridgeton, Glasgow
Agnes McAulay Paton b 1871 bridgeton, Glasgow FHL# 6035516
_ unknown Female child Could be Agnes

o Frame 732: 2 Sept 1783
Jean Paton second son and second child of James Paton weaver and Mary Marshall spouses their first marriage born 2 Sept 1783 and baptised 7 Sept 1783 by Mr Robertson. (Note – the text was checked to confirm that it read “Jean” and “son”. The “son” is the error as seen in Frame 771.)

o Frame 771: 6 April 1786
James McKinlay Paton three child and first son of James Paton weaver in Kilmarnock and Mary Marshall spouses their first marriage born 6 April 1786 and baptised 9 April 1786 by Mr James McKinlay. This was the first child he baptised after his ordination.

Good hunting
Michael Paton