Show business? - Perhaps not.
My first thoughts on seeing this post were that the little jacket was made for a show-business performer of some kind - and sure enough the Alexander Brothers picture posted by OC seemed to confirm this. However, I was looking through the website of a Glasgow firm called St Kilda Store who market their jackets under the name 'Gaelic Themes' (my Regulation Doublet is Gaelic Themes but from another retailer) and under the section headed 'Fully made-to-measure jackets' there is a listing for 'Double-Breasted Prince Charlie.' This jacket is not identical in that it has a different arrangement of cuff-buttons, however it is certainly in the same style - near enough.