The English Longbow despite it's heavy draw-weight has no advantage of distance over a conventional modern recurve bow. Long Arrows were almost 3 times the weight of modern day target arrows so this is the reason for the longbows limitations on range...
Isn't it a recurve you are thinking about? A compound being one with wheels and string that is kind of tripled? Here are some sites with bow-making and one with a good picture with a bow in B shape:
Black Widow Bows are some of the best recurves on the market.Big Horn Archery,& Bob Lee are top rate bows also.