I didn't find him by searching the text of a county history of Mercer Co. Not surprising, since he was a coal miner.
https://archive.org/stream/historyofmercerc00merc/historyofmercerc00merc_djvu.txt------
Are there other Perkins in the area that might be siblings? Do their records tell you anything.
Where was that Civil War unit recruited from? The 89th Illinois Infantry. Any other Perkins there?
Probably too many in either case, since it is a common name, but maybe worth a try.
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The Scottish records are on a pay site, someone on rootschat might be willing to look, since you might have an exact date. I doubt they would notice this post though, in the US section with "England" in the title.
