Originally at the corner of John Reed Road and East Beach Road. After the 1938 hurricane but before 1943, the name was transferred to a small house near Horseneck Point that is still there; after 1943 the original building was moved next to that small house, and was still there in 1967. It's gone now.
Horseneck Point, Hurricane Pictures of Greater Fall River (1938) p. 26
Ali's Restaurant Horseneck (1938-1943)
Allen's Bathing Pavilion, Horseneck Beach, Mass. (1938-1943)
Horseneck Point from the Causeway (1943-1952)
Horseneck Point, Horseneck Beach, Mass. (1943-1952)