Cut butter into flour until crumbly.  Add milk and mix to form a soft dough.  Turn out onto a floured surface and roll to about ¼ inch thick.  Cut into desired-sized squares, then lightly sprinkle with additional flour, which will help thicken broth.  Drop squares into boiling liquid and simmer for about 20-30 minutes. 

NOTE:  I’m going to try these dumplings in a peach or apple cobbler.