60-64 West St Helen Street was listed in 1971, meaning it was of interest architecturally or historically. See the entry https://historicengland.org.uk/listing/the-list/list-entry/1200046?section=official-list-entry.
It was demolished in 1979. Steve, who grew up there, gave me a photograph of the demolition. I live in a part of the new build.
I found a photograph of the building before demolition, taken from a larger photograph in Abingdon Past and Present by Elizabeth Drury and Judy Thomas (All Rights Reserved).
The listed building is described as: One building. Early C19. Rendered. Tile roof. Plinth. Three storeys. Three windows, moulded flush frames, double hung sashes with glazing bars, panel with tabs supports a cornice. The centre window on the first floor and ground floor has tabs missing and the window to the right on the ground floor is irregularly placed and has no panel. Two cellar openings, flat arches. Doorway to Nos 60 and 62 is one composition, with three carved pilasters and a flat hood on brackets. Doorway to No. 64 is similar, but set lower..