The Shipwrights Arms was on the north side of Albion Street (A259), at No. 107, at the west corner with Rock Road opposite Southwick Town Hall. According to Southwick local historian Ted Heasman, from whom the photograph was originally obtained, the Public Bar was accessed from Albion Street and the door to the Saloon Bar was on Rock Road.
Sources:
Aslett, L. (1998), The Pubs of Southwick Past and Present, Part One, Sussex Drinker, Issue 12 (spring), pp. 12-14.
Heasman, W. A. (2009), Memories of Southwick and Kingston Buci, Southwick: Southwick Society.
Directory of Pubs in the UK , historical public houses, Taverns, Inns, Beer Houses and Hotels, http://pubshistory.com/SussexPubs/Brighton/ShipwrightsArms.shtml