Children at catholic school(s)?
Maybe 
There is a catholic baptism of a Joannes Michael Hickey, 11 June 1905, Mortlake
Born 1 June 1905
Parents Patri...(Patrick) & Catharinae, olim McGrath
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Add in sponsors, Edmundus Burke, Maria Hickey
Anyway, a registration in the September quarter in Richmond RD.
HICKEY, JOHN MICHAEL
Mother's Maiden Surname: MCGRATH
GRO Reference: 1905 S Quarter in RICHMOND - SURREY Volume 02A Page 52
Parents married 14 August 1904, at Mortlake.
Patrick's father John
Catherine's father Michael
Dob of John Michael Hickey 1.6.05 matches the record at reply 10 posted by Christine
Has anyone found the family on 1911 census I’m struggling

Jon - are there any other details from 1904 marriage ie age, occupation, addresses, witnesses
Added - there is this Hickey family 1911 but father named John
John 27
Kate 25
John 6
Kate 4
https://www.familysearch.org/ark:/61903/1:1:XWLY-D93?lang=enEdit - this looks to be the entry on Anc*y so a different family

Street Address 12 Maygood Street, Barnsbury Rd, Islington N
Marital Status Married
Occupation Cycle Enamellers Labourer
John Patrick Hickey 27 Head
Kate May 25 Wife >>>>>>>>>>maiden name WRIGHT married 1904 image on Anc*y
John Thomas William 6 Son
Kate Emily 4 Daughter