Stedman's daughters were married to prosperous men of good families. His other sons joined the military. George William served as a lieutenant in the Royal Navy and died while attempting to board a Spanish ship off the coast of Cuba in 1803. Adrian fought in the First Anglo-Sikh War for which he was later honored after participating in the Battle of Aliwal against the Sikhs, and died at sea in 1849. John Cambridge served as captain of the 34th Light Infantry of the East India Company military and was killed in an attack on Rangoon in 1824.