'Fulham' probably means the riverside land of a man called Fulla.
Old English hamm was land hemmed in by water or marsh, or a river meadow. Londonist dates the first record, Fulanham, to 691; the Domesday Book spells it Fuleham. The station opened in 1880 as Walham Green, after the village whose centre became Fulham Broadway, and took that name in 1952 after representations from the Fulham Chamber of Commerce.