It would be interesting to ask these other researchers when and where Francis Seaton allegedly married Sarah Cole. There's no such marriage on Hunts Marriage Index, so it wasn't in Hunts. As a general rule, don't rely on what other people tell you, or what other people show in Ancestry trees. Use it as a guide only and then verify any information yourself from original records. Take the alleged marriage. I've no idea where it comes from. Possibly someone has looked at one of the sons, Richard Cole Seaton and assumed the mother's maiden name was Cole. But without the marriage it's just idle speculation.
What concerns me about the 1783 marriage is that Margaret only found one child baptised before 1800, in 1795, then a whole raft of them from 1803 to 1819. If it's the right marriage in 1783 then Sarah was having children for 36 years after the marriage, which I think is unlikely. If she married at 16 her last child would have been born when she was 52. Unlikely. So perhaps there is something in the Sarah Cole story. The IGI at
www.familysearch.org has a marriage in Langham, Rutland between Francis Seaton and Sarah Cole on 28 mar 1798. It might be two separate Francis Seatons, or a second marriage for the first Francis. But you need to prove that all these children baptised in Stilton, Hunts are offspring of the Rutland couple.
What you get from the microfiches are transcripts of the parish registers. Pre 1837 what you're likely to find is
Baptisms: name, names of parents (but not maiden name of mother) occupation of father; abode
Marriages: names of both parties; parish of residence at the time of the marriage, perhaps occupation of the groom, marital status, names of the witnesses
Burials: name, age after 1812, perhaps occupation; for a woman "wife of xxxx" or "widow"; for a child perhaps the names of the parents
Sometimes the vicar will add a bit more detail.
A good place to learn about parish registers is
https://www.familysearch.org/learn/wiki/en/England_Church_Records#Christenings_.28Baptisms.29David