I have some information that could be added to what you have, (if you don't aready have it) because we are talking about the same family.
I have Sarah Longbottom's mother as Ester MURGATROYD and her and Stephen Longbottom were married the 7 Feb 1709 in Bingley, Yorkshire, England, there are also some records that say married about 1714. They have 8 children listed.
Stephen's father John Longbottom is listed as being born 15 Nov. 1635 in both Eldwick & Bigley,England This date is also listed alot as his christening date, and he is married to Martha Rogers born 1638 also Bingley England. They were married 22 July 1668 in Bingley, They have four children listed.
John's Father Robert Longbothom (Longbothome) is married to Isabel Hardcastle.I have his birth & christening date as 23 Jan 1625 in Eldwick, Bingley, Yorkshire, England. They are listed as being married 11 Nov 1635 in Bingley. So far I only have two boys listed John & Robert born 19 Nov 1637 in Eldwick.
Robert's father Samuel is listed as being born about 1594 or 1599 in Eldwick, and he married Isabella Firth 4 April 1620 in Eldwick and they have 10 children listed.
Samuel's father Samuell Longbothome born about 1573 in EldwickHis wife's name was Jane and she was born about 1577 and there are 8 children listed.
I have all the children's names for all the families if you need those names. I hope this helps. I would like to hear from you to make sure we have the same families going here... I think we do.A. HArris