My last "British' descendant that I am aware of was listed as a Warden of Portsmouth Dockyard in 1830 ish. What would a job like that entail? Was it a paperwork sort of position or scrubbing the bottom of the ships?
In the 18th and 19th centuries, a dockyard "warden" was somewhere half-way between a customs officer and a police sergeant. This passage from the contemporary 1834 United Service Magazine (think USO-lite) describes the duties of a dock-yard warden. Notice that he is described as a sort of police official responsible for security around the navel vessels. Additionally, this site discusses the "Warden of the dock-yards" as being a kind of early naval law enforcement. Earlier on, dock-yard wardens were responsible less of security and more concerned with customs and the provisioning of vessels. A chronicle of the Chatham dockyard mentions that in 1802,
Title of Porter, at the Dockyard, changed to Warden; perks abolished for tending the clock and the selling of beer. Ref; JDC 15-2.
So the warden of the dock-yard was an official concerned with the upkeep and security of the dockyards. Early in the 19th century, this role seems to have been more logistical (selling refreshments, tending the clocks), but by the 1830s, it was turning into a sort of navy-yard policeman.