The Rempt Brothers were builders of high end shotguns and sellers of their's and other's guns. Their firm was in business from the middle 1860s until the start of WW2. They were not liked by the Nazi government.
I would suggest that the engraving on this beautiful gun was either influenced by or done by a Belgian engraver. This style was used in Liege and several of the best engravers left Belgium to immigrate to Italy and Germany. One of the best of these worked for Franchi on his best guns. This engraving reminds me of that period and style. Note the bouquets of roses. It is for this reason that I would hesitate to call it an English style.
Hope this helps.
John