Conjecture, no matter how often repeated, does not become more true
Your conjectures include the following:
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1) The item cited as from "War Vol. 4" represents Bates as receiving soldier's pay.As quoted by you, the entry does not say this.
2) The Mr. Duval from whom Bates received money was a former officer.The entry does not say or imply this.
3) The person from whom Bates received money was a neighbor in March, 1783.The entry does not say or imply this.
4) The transaction occurred in Louisa Co., VA.The entry as quoted does not say or imply this.
You do not give publication data for "War Vol. 4": author, full title, publication data, or if this is the name of a file, the full title, record group identification and where located.
If it is a book, is the entry you keep quoting (?) in a list?If so, what is the heading or title of the list?Was the original source given for it?
You call the entry a "pay stub."Do you mean a receipt on a piece of paper, an item from a ledger entry, or what was the exact nature of the original item?