Have you got an census information?
Looking at the index for a Richard Carr in Lancashire (North Meols) 1841 I've found -
1 - born about 1810
2 - born about 1840
3 - born about 1811
4 - born about 1836
None of them appear with a wife Jennet though
Of course you Richard born about 1805 would no doubt have been married by that census so not living with his parents.
Not sure how you know who he married without the certificate - or parish registry entry more likely but again if it was before 1837 registration there may not be a father's name.
I think this is when lots of us get stuck. The only clue we may have is the naming pattern of children. SOMETIMES (but not always) the eldest son was named after his Grandfather, that is father's father.
Maybe someone else might have further help to offer. I suppose you've checked The Park database? Details are on the forum of how to get to that on the internet.
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Mad on Genealogy or just plain mad? :)
