Never heard of such a service but I might eventually be wrong. Alternatively, you could store your bags in a locker at Westbahnhof.
No storage at Schonbrunn -
As you leave for Salzburg from the Westbahnhof use the facility there - then Take the streetcar#58 found just outside the train station to the right - this takes you directly to the front gate of Schonbrunn in about 10 minutes-
Thank you very much for your help.
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