Trish has beaten me to it with the above information, but to add a little more, Mary WILKINS in the 1841 census is a widow in 1851, this looks like her husband's death
Deaths Sep 1849
Wilkins David Portsea I 7 187
There is no sign of the David James bp 1835 in the 1851 or 1861 census, however, there is David WILKINS in 1871, the image shows his birth place as Portsea, and his occupation as Steward in the Royal navy, this would account for him not showing up in the 1851 or 1861 census.
RG10 piece 123 folio 12 page 15
Vauxhall Bridge Rd, St John The Evangelist, Westminster
WILKINS, David James Head M 35 1836 Hampshire
WILKINS, Sarah Wife F 38 1833 Wiltshire
WILKINS, James D Son M 14 1857 Wiltshire
WILKINS, Mary Ann Daughter F 12 1859 Middlesex
WILKINS, David Son M 3 1868 Middlesex
A check on the National Archives reveals the following.
http://www.rootschat.com/links/0chz/ Description Name Wilkins, David Brinley
Official Number: 69924
Place of Birth: Portsmouth, Hampshire
Date 19 June 1830
Catalogue reference ADM 188/54
Dept Records of the Admiralty, Naval Forces, Royal Marines, Coastguard, and related bodies
Series Admiralty: Royal Navy Registers of Seamen's Services
Piece 69401 - 70000
Although the age is out and the second name is not James, given that it is Brinley, it is quite likely him, or at the very least a close connection.
Jebber