The baptism for Edward is on IGI - 7 Feb 1847 - but I can't find a confirmation of his birth.
From the information on the Ancestry trees, these are some of the Deeming marriages in Birkenhead or Tranmere.
Assuming that Edward below is your ancestor, he married in the same church as Fred and so the relationship is fairly certain.
The only way to be absolutely certain would be to order the birth and marriage certificates.
DEEMING Edward - GETLEY (Gatley?) Mary J - Tranmere, St Paul, Wirral - 1875
DEEMING William Henry - BOSTOCK Catherine - Birkenhead, St Mary, Wirral - 1876
DEEMING Thomas Bailey - BATHO Susannah - Birkenhead, St Mary, Wirral - 1878
DEEMING Frederick - JAMES Marie - Tranmere, St Paul, Wirral - 1881
DEEMING Thomas - CALVLEY Martha - Tranmere, St Paul, Wirral - 1885
DEEMING Leonard - CALVERLEY Elizabeth - Lower Tranmere, St Luke, Wirral - 1896
Hope this helps,
Regards,
David
PS More detail: -
name: Frederick Deeming
event: Marriage
event date: 28 Feb 1881
event place: St. Paul, Tranmere, Cheshire, England
gender: Male
age: 27y
marital status: Single
father: Thomas Deeming
spouse: Marie James
spouse's marital status: Single
spouse's father: James James
digital folder number: 4018397
name: Edward Deeming
event: Marriage
event date: 19 Jul 1875
event place: St. Paul, Tranmere, Cheshire, England
gender: Male
age: 29y
marital status: Single
father: Thomas Deeming
spouse: Mary Jane Getley
spouse's marital status: Single
spouse's father: Thomas Getley
digital folder number: 4018397