Okay, 1871 in St Thomas, Devon
Jessie Pearse, aged 14, born Stoke, Plymouth
living on Alphington St with parents and siblings
Robert, 43, Mason, born Bampton
Ann, 38, born ? near Mary Tavy
Ellen, 24, born Tavistock
Sarah, 19, born Tavistock
Rebecca, 18, born Camborne Nr Tavistock
Emma Jane, 12, born Morice Town, Plymouth
Mary, 9, born ditto
Elizabeth, 7, born ditto
Edith, 4, born Ford Nr Plymouth
William Robert, 2, born St Thomas, Devon, Exeter
Reminds me of a family of mine; he kept trying and he finally got a son.

I don't see a Jessie in 81 or 91 in England with the right surname or husband to be Jessie Pearse.
Since these are your direct ancestors, obviously you know who at least one of their children was -- name, date and place of birth ...
Have you not found that person in censuses with one or both parents?
It's always best to give all the info you have that nobody else knows.
Is Archibald not with his family in any census after 1876? If he is, then it will say something about his date and place of birth at least ...