Yes, I'm starting to doubt it myself.
But William Thomas Butterworth married Catherine Ann Snape in January 1892 in Blackburn - maybe because it was disapproved of if say she was already pregnant with John, WT was 21, she was 25, they married in his area of Blackburn rather than Withnell (didn't couples usually marry in the bride's family area) where she was from as are lots of other Snapes. A son John Butterworth (according to the 2 census records) was born in 1892 so that date fits with the marriage, and he stayed with his mother Catherine (who now calls herself Butterworth) at least until he was 18, according to the 1911 census. Here Catherine describes herself as a widow. They had already left Withnell and moved to Farnworth by 1901 with Catherine's mother Sarah Snape. Catherine's mother made up the family unit with her daughter and grandson - she herself was a single mother I think.
Yes it is curious that the 1911 census shows John's place of birth as Rochdale; in 1901 it is listed as Withnell (I think before I read it as Haliwell, but see now that it's Withnell).
William Thomas left Lancashire with my great grandmother Sarah Ellen Yates some time before 1900 and they settled in Chatham where my grandmother, great aunt and uncle were born. Sarah Ellen's mother Ann, 2 sisters and 2 brothers also came to Chatham (1 brother stayed behind in Lancashire but died of TB in 1906).
My aunt never met her grandfather William Thomas, the only thing she remembers being said about him is that he died in a brawl. I don't know where. I don't think William Thomas and my grandmother married, although her 3 children by him were christened Butterworth. My great grandmother married another man, George Thomas Waghorn, in 1906 and my grandmother tended to use the name Waghorn rather than Butterworth so William Thomas was rather forgotten about.
Does that help at all?