Hi Terry,
Failsworth Cemetery, Section L, Grave Q4
Mary Emma Hardman, aged 58 years, burial date 30/09/1925, (26 Richmond St, Newton Heath)
Emma Hardman, aged 40 years, burial date 15/01/1930, (123 Crescent Rd, Crumpsall), Buried from Failsworth parish
Annie Strafford, aged 57 years, burial date 10/04/1935, (26 Richmond St, Newton Heath)
John Hardman, aged 77 years, burial date 17/02/1943,(123 Crescent Rd, Crumpsall)
Note 1: The address for Mary Emma Hardman has been transcribed as 20 Richmond st, on the Oldham Council burial website. It's definitely 26 Richmond st, written in the original burial register.
Note 2: 123 Crescent Rd, Crumpsall was the address of Crumpsall Hospital (now North Manchester General Hospital)
I think Emma is Fred Hardman's first wife Emma Mosgrove (your grandmother)
John Hardman and Mary Emma Hardman I think are Fred Hardman's parents (your great-grandparents)
I was hoping the gravestone would confirm the relationships but unfortunately there isn't one.
Photograph: Failsworth Cemetery, Section L, Grave Q3 (on the left - John Wood) - Q4 (in the centre - no gravestone) - Grave Q5 (on the right - Elizabeth Jones)