1950's ordinance survey map from NLS has "Lobby Bridge" marked next to the bridge. Railcodes.org.uk has it described as "Gargrave and Broughton (Church Street) Overline Bridge | Brick (Arch)". It is an external masonry construction in stone but may well have a brick arch.
https://maps.nls.uk/view-full/189181365 ... &layers=BT
Neil