This is the smaller Daughaday Treadle press that was made.  It's a 5x7 small jobber press.  There is very little details on this press in any catalogs or sales ads from Daughaday.  There is plenty of information on hand presses and larger treadle press, but not this size.  Daughaday also called these "rotary" presses, and their other presses were "hand" presses.  This No. 2 is fairly rare with only a handful of them around, less than 6 know to exist.  Daughaday was in business from 1874-1895.