My time is my own to decide on what slips

You mentioned the full name John MADDISON Bristow.
Ann Elizabeth MANN is the probable spouse shown for his marriage, and on the 1861 CENSUS I showed you, she is the married daughter of William & Susanna Mann, with her husband Jno Bristow shown as Son in Law - with a few kids including your ANN, c1853/4.
I think that proves that the John B Reading marrige is correct.
Simples !
ADDED: and so does that 1871 census (indexed as BEESTON on Ancestry) - its the only BRISTOW family with a dau Ann E of the right age - the same age as shown in 1881 onward with John B Reading .....