Very late reply, but I might have found your lieutenant Adams. He is unlikely to be British, however.

The Gedenkboek 1813 mentions a certain T.P. Adams from The Hague, who volunteered to recruit men to attack the French. He was appointed "Commissioner for the Organisation of voluntary Armament in the Lands of Overmaze" in November 1813. He managed to assemble up to 200 men armed with pikes and muskets in the Beijerland area (south of Rotterdam). His group captured a French 12-gun battery at the Buitensluis and rounded up any remaining Frenchmen before being dismissed. Because he had no(!) prior military experience, he was appointed 1st Lieutenant in the 16th Bn Line Infantry per his request on 15 January 1814.
He wrote a report in Dutch about his actions, which can be read in full in the Gedenkboek 1813. There is a further lead about him in the Stamboek Officieren, where Thomas Philip(pus) Adams is mentioned four times. http://www.gahetna.nl/collectie/index/nt00297/2b8696d4-edcd-102c-8a06-005056a23d00

G.J.W. Koolemans Beijnen, Gedenkboek 1813, (Haarlem 1913) p. 243-248