I have a mounted bull moose head that is said to be from the "first moose drawing in Idaho". Wondering what year that would be.

Moose were first hunted through a general hunt format from 1893 to 1897.  Hunting was closed from 1898 until 1946 when a controlled hunt was established in eastern Idaho.  Additional controlled hunts were implemented in north central and northern Idaho in 1954 and 1957, respectively.