Hello Melinda
As Peter & Mary Ann married in 1879 Dewsbury I tried to see if I could find them on the
1881 census but didn’t have much luck

I did find this birth and death entry and wondered if it
might have been their first child but can’t say for sure without checking
Patrick McGivney Mar 1881 Dewsbury Volume: 9b Page: 714
Patrick McGivney died age 1 Sep 1882 Dewsbury Volume: 9b Page: 420
This appears to be Mary Ann Mulany’s birth entry
Mary Ann Malany Apr-May-Jun 1858 Dewsbury Volume: 9b Page: 486
And possible her on the 1861/1871 census
1861 RG 9; Piece: 3410; Folio: 42; Page: 18
surname transcribed as
MULLANNY606 High St Dewbury
Mary Head Mar. 30 Ireland occ. rag sorter
Ann 6
MARY A 3 Dewsbury1871 RG10; Piece: 4601; Folio: 108; Page: 49
Middle Road
James
MULLANY 42 Silgo Ireland occ. cordwainer
Mary 40 Rosscommon Ireland
Anne 17
MARY A 13 DewsburyThomas 5 mths (possible death Thomas Mullaney 1875 Dewsbury age 4)
Don't know if any of these relates to the James Mullany above
date 1848
https://familysearch.org/pal:/MM9.1.1/KMQ9-GY5date 1868
https://familysearch.org/pal:/MM9.1.1/KMQS-XWVdeath 1889
https://familysearch.org/pal:/MM9.1.1/FTHH-LNPMary's marriage certificate to Peter would confirm both their father's name & occupation