A moment of non-factual pondering now…..

I find it difficult to accept that John EVERITT was the father of a child to a woman unknown to the family. These were tough days and in most cases a woman who found herself pregnant was not assisted by the father’s family, but by her own –if at all!
If he is the father then he has given his name to the child and then she is never heard of again!
You have stated the couple, Edward and Hannah, raised children of family and it seems unlikely they would reach out to a girl in trouble not related to them .
John appears to have shown poor character in sited instances and it seems illogical he would ask his brother to raise a child from a liason while the mother moved on.
Did Adeline, then, go to the door and say this child belongs to your JOHN, then leave town?
Sue