In
Double Jeopardy the other sister is staying at a hotel in the city and Queen's Building is the building used as the establishing shot for the hotel. Although Queen's Building and Prince's Building were of a very similar, almost identical, design, Queen's Building is identifiable by the top storey arched windows whereas Prince's Building has rectangular windows on that floor.
Anyway, it's nice to see such a great looking building that was demolished not long after this was filmed and replaced by the Mandarin Oriental Hotel in 1962.
Interestingly, in the background the top floors of the new Union/Swire House can be seen. I know a portion of the later
Hong Kong episodes were shot and shown in 1961 but I was under the impression that the Hong Kong on-location footage would have been filmed in one big chunk sometime at the start of the show in 1960. Even if this is a later shot filmed in 1961 it still pushes the build date of Swire House back to 1961 (there was some discussion about the date over on
Gwulo.com).