Yes he is a lodger, Viv.
Here's the complete household:
Edward Luke, head, 48, Chelsea Pensioner, b. Ireland County Clare
Sarah Ann, wife, 44, b. Portsea Hants
Wm Carter, lodger, unm, 24, Joiner, b. Derby
Henry Sedgwick, lodger, unm, 22, Joiner, b. London Middlesex
Edwin Thompson, lodger, unm, 25, Joiner, b. Rochester Staffordshire
Edwin Lane, lodger, unm, 23, Joiner, b. Leigh Dorchester