Oh! You do have a puzzle on your hands.
I can't help with that time period in America.
It is difficult to sort out people with very common names. I have Jones ancestors in Worcestershire, England. The 1800s Jones have been complicated but possible by tracking family first names and where they lived, it helped that they lived in the same small place for quite a long time.
I got back to a William Jones born about 1770, married to Sarah Unknown. There are 25+ marriage records for William Jones's to Sarahs in the appropriate time frame and location, I can't see anyway of making any sort of decision about which one is more likely.
It might be easier in England as there are more records in the 1700s, but without a marriage record that says William Jones the puddler( iron worker) to Sarah child of ?? I'm stuck.
I agree with other posters, look for other people who share family first names, land records, wills, church attendance records are often very useful.
Sometimes I have had success just Googling the person's name in a likely location and appropriate date. You might find undocumented family histories that could provide useful clues. Of course you then have to try to verify the information. If possible contact the person who created the family history, sometimes they know more than they think they do.
It does take time but can produce information that isn't on a birth, marriage, death or census record.
Do any family members have unusual or less common first names? If so they were probably named after a parent, grandparent, aunt or uncle.
Unfortunately you may never be able to find definitive records.
Edited;typo