I think the prize goes to Jay!
I googled "reduced soldier" British Army Revolution and found a site with a biography of such a person. Here's the quote and the site:
“Reduced soldier” referred to soldiers not actively employed who receive reduced pay.http://immigrantentrepreneurship.org/entry.php?rec=124
Sort of like a modern-day Reservist in the U.S. Army.
Now to figure out what relevance that may have to my never-ending search. ☺
Thanks a million to all who worked on this.