Oh, well, Anon Jobes, -- bear with my pep talk here -- THAT is the sort of puzzle grown-up researchers have cut broken their teeth on -- if one can imagine something happening it is likely it has already done so somewhere or is happening now somewhere or will happen somewhere
Now I have seen such situations before, where -- for instance -- man had two sons who EACH had a child named after their father (him)
I've seen a man marry twice and have a son by each one (sons' names were the same as his own name) and the second son by the second wife wife was born while the son by the first wife was flourishing and begating his own family
I have seen families where the name was passed down by the generations, even unto John Smith VI (the 6th)
(Admitted, I remember these more because I thought they were "over the top" but ...)
And I have seen instances where you actually do find out that two of the men are most probably not related so far as can be determined, but by some strange and awkward set of conditions they ended up living within 50 or 100 miles of each other, there wasn't all that much difference in their birth years or in the locale of birth, their wives had very similar names, there was a similar number of children with some similarity in names ... it was spooky ...
But careful research by a number of folk, involving building time lines and locating deeds and marriages and baptisms and any other possible event -- and the pursuit of the lives of the children of each including their births and baptisms etc -- led to a weighted conclusion they were in fact two different men -- probably, most likely not ADD EDIT: the same one man
It involves locating several events that occur where one man was definitely known to be and locating where the other man was at that date ... last I saw they'd located one such event and another as probable
Well, they were either different men, or he had a fast horse and at least one compliant wife or possibly both -- and I have seen cases where men have done just that, wife in one town and wife in another town, both wives ignorant of each other and very not happy when he died and they both showed up with children in tow at his funeral ...
Or the Mormon who left Utah came to CA (after the feds clamped down) with two of his wives, parked a wife on each side of the town (in a more rural area) and kept the children of both women ignorant of what was what and who was who and ... someone asked me to find some info, I did, and suddenly he had a passel of half-sibs neither nor his full sibs had known about and said "it explains some things" ... I advised him to be very very discreet about who he talked to about this, THEY might not be a pleased to find it out --
WHETHER this pep talk HELPS you I don't know. But what you see in the DOB of those three men, what is purported to be their DOB, if not quite proven, is not all that uncommon.
I do not envy you the amount of research you might be facing to pinpoint these in men