St William's College was built circa 1465 to provide accommodation for the chantry priests of York Minster. During the Civil War, it housed the Royal Mint.
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According to the City of York Council, St William's College is:
the most sophisticated timber-framed building in the city
Source: The City of York Council's Conservation Area Appraisal for York Central Historic Core - Character Area 9: Minster Precinct.
(The source document is undated, but the pdf file properties include a creation date of 2 June, 2014.)
York Illustrated