Hi Scott
It looks ok to me though you don't mention son William WISE bc1836/1837 (1841 census) - I wonder if this could be him ie. born Newington, Kent:
Possible ............
1861 vessel "Trafalgar"
Wm WISE private Royal Marines unm 22yrs 10m b.Newington Kent
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1881 - 2 Napier Road, Gillingham, Kent
William C WISE head mar 44 cowkeeper & milkman b.Newington Kent
Hannah wife 31 b.Ditton Kent
RG11/892 folio 55 page 4
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1891 - 46 Napier Road, Gillingham, Kent
William C WISE head mar 54 dairyman b.Newington Kent
Hannah wife 41 b.Ditton Kent
RG12/662 folio 10 page 1
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William Charles WISE married Hannah PLEDGE 1876
http://freebmd.rootsweb.comIn case you hadn't already found it, here is the marriage of Mary Ann WISE (widow) to Arthur BUCK at Holy Trinity, Milton nr Gravesend 22 March 1846
http://www.rootschat.com/links/03so/ Possibly some confusion in that her father is stated as William WISE, publican
Could the mother's surname on Emily Jane's birth certificate read PYE rather than DYE? There is a marriage William WISE to Mary Ann PYE at Leeds nr Maidstone 1828 which would fit
http://woodchurchancestry.org.uk/midkentmarriages/index.phpI suppose the 1887 Camberwell death could be her if you can't locate any other options - did she have family in that area?
Have you found any confirmation that William WISE was that much older from a source other than the 1841 census yet?
Casalguidi