I can't see it on an old map yet, however there is this description of it's location:
"... Parallel to High Street are two narrow lanes, one on either side, North Back Land and South Back Lane; at right angles to the latter is a lane, Ings Lane, leading to the Ings, or swampy meadows, south of the town."
Report to the Local Government Board on the Recent Prevalence of Enteric Fever in the Bridlington Urban Saniraty District
Author Parsons, H. F.
Publication Date June 6, 1881