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Graham crackers get their name from the inclusion of Graham flour. Sylvester Graham It is whole wheat flour, but more coarsely ground than typical whole wheat flour and unbolted. The Irish-style flour that I got from King Arthur would be similar. Graham flour gets its name from Sylvester Graham who advocated eating a whole foods vegetarian diet in the 1800s. He influenced John Harvey Kellog. These crackers may be good, but they aren't Graham crackers if they don't have any whole wheat flour.
Carol, you beat me to the punch. This may indeed be a nice tea cracker recipe, but without the Graham or, in the very least, whole wheat flour they're not Graham crackers. Sort of akin to making beef stroganoff using chicken.