Bridgeman was a younger son of Orlando Bridgeman, 1st Earl of Bradford, by his marriage to Lucy Elizabeth Byng, daughter of George Byng, 4th Viscount Torrington and Lady Lucy Boyle, a daughter of John Boyle, 5th Earl of Cork.
[2] In 1805, Bridgeman was rated as a midshipman, and during the Napoleonic Wars, he saw active service on blockade duty with Robert Calder, later serving in the Dardanelles Operation of 1807 and in the expedition to the Scheldt.
On 1 May 1811 he transferred to HMS Revenge as Flag-Lieutenant to Rear Admiral Arthur Kaye Legge and served at the defence of Cadiz.
He commanded HMS Badger from 12 December 1814 until 28 August 1816, on the West India station, taking part in the invasion of Guadeloupe of 1815.
Her log for the period, kept by Talavera Vernon Anson, survives in a collection at the New York Public Library.