Might I suggest that you visit and down load these – link
Also look up Look up Banderia Prutenorum on your web thingy.
LBMs sheet though nice, is confused.
One of the flags 'looks like' the Grand Masters Burkhard von Scwanden , 1282-1290. OR Gottfried von Hohenlohe , 1296-1303, who were related and carried the same arms ( Gottfried inheriting the arms ) . Brother were not, according to the rules of the order, supposed to carry their own arms. However almost all of the Grand Masters had their arms on their seals.Today the Order is far more relaxed and displays family arms combined with that of the Order
Some of the other are from the Banderia Prutenorum ( 1448 ) and some are just 'out there'
The one with the black cross and white lion is unknown to me, as is the one with the Imperial Eagle with the teutonic cross forming a 'Schwenkel' – the streamer in the upper part of the flag.
The two flags with the Imperial adornment – the Imperial Arms and the gold border to the cross which form part of the official arms of the Grand Master, have coloured borders which don't appear on any original illustrations and I believe have a an element of guesswork.
The banner of the Grand Master was a Gonfalon, quite small and hung downwards from a cross piece from a pole.
Unfortunately even if you do look at Banderia Prutenorum, the author Jan Dlugosz made some errors too. Heraldry is a specific science – Arms or banners hung incorrectly are wrong, and Dlugosz simply painted the banners as he saw them hanging in Krakow cathedral. His illustrations need to to be re-orientated in order to work properly.
Unfortunately too this book records only the banners held by the Poles. The banners that went to Vilnius were lost in a fire.