In a short time of looking, I haven't found any proof of Edwin marrying Eliza Hume (or Keech).
I did find some compelling a record for a marriage to a Lillie M Moore
12160/1916
KEECH
EDWIN H
MOORE
LILLIE M
TAMWORTH
Alongside his marriage to Charlotte:
4026/1880
KEECH
EDWIN
MOGG
CHARLOTTE HENRIETTA
MUDGEE
For what its worth, a record of Eliza Hume marrying Ernest Keech also exists:
4705/1900
KEECH
ERNEST L R
HUME
ELIZA F
ST PETERS
And a birth record for Mabel
KEECH
MABEL B
16720/1916
ERNEST L
ELIZA F
BELLINGEN