G'day
According to Ancestry Mary Ann was baptised at St Peters on 27.10.1822. Her father's name is John and I can't find the baptism on this site. I have used wild card search to no avail. I found the burial records fine.
It is definitely there
Wragg, Mary Ann (of Sheffield, born 1822-09-18).
Baptised October 27, 1822, by Wm H Vale at Sheffield Parish Church, Church Street, Sheffield.
Parents name(s) are Elizabeth & John (Cutler).