If I expand the date range to 1862 to 1883 (just to be safe), and use "exact match,"
then I see 127 marriages for a William Reid in Ireland in this period. If OP has the time to go through these one-by-one, then can down-select using father's name - also William - and denomination in which the marriage was performed. The original registrations are available online, for free on the site I already mentioned.
Assuming this throws up several candidates, OP can then look for a death of the wife, in Ireland and/or Scotland, and for any children.