Curious that the image in the lead post seems to illustrate what appears to be an English banner flying from the pipe.
I've forgotten the name (and the patron) of the piper (the drawing's based upon a contemporary portrait), but he was Loyalist. More Scots fought for the Crown than Prince Charlie.

I'd observe that the second illustration clearly shows a piper wearing Government tartan and a red coat, as well, and that's undeniably the Union Jack carried by those redcoats in the lower left corner...