Hi again,
These are taken from the 1891 and 1901 census. Edward's date of birth is recorded as 1887 so its a little bit out on what your originally posted (1890), however these seem to the only ones for Liverpool. If you order his marriage certificate it will confirm his father's name and if we can pin down the right birth reference, a birth certificate will confirm both parent's names and you will also have his mother's maiden name.
1891 census
15 Gildart? Gardens, Liverpool
James Gannon 24 head mar carter
Lucy Gannon 24 wife mar
Edward Gannon 4 son unm
Mary A Gannon 6 dau unm
Lucy Gannon 2 dau unm
Elizabeth Gannon 4m dau unm
Margaret Moran 22 lodger unm domestic
John Talbot 19 lodger unm general labourer
all born Liverpool, Lancashire
RG12/2906/15 p 26
1901 Census
13 Botanic Street, West Derby
James Gannon 36 head mar carter
Lucy Gannon 35 wife mar hawker
Mary A Gannon 16 unm
Edward Gannon 14 unm apprentice
Lucy Gannon 12 unm
Jane Gannon 9 unm
James Gannon 7 unm
Julia Gannon 3 unm
all born Liverpool, Lancashire
Class: RG13; Piece: 3488; Folio: 138; Page: 36
You will notice that baby Elizabeth doesn't appear on the 1901 census so it is highly likely that she died and sadly this seems to be reference for her death:
Jun 1891
Elizabeth Gannon aged 0
Liverpool 8b 58
Luzzu