Source : Webster's Revised Unabridged Dictionary (1913)

Generalship \Gen"er*al*ship\, n.
   1. The office of a general; the exercise of the functions of
      a general; -- sometimes, with the possessive pronoun, the
      personality of a general.

            Your generalship puts me in mind of Prince Eugene.
                                                  --Goldsmith.

   2. Military skill in a general officer or commander.

   3. Fig.: Leadership; management.

            An artful stroke of generalship in Trim to raise a
            dust.                                 --Sterne.

Source : WordNet®

generalship
     n 1: the leadership ability of a military general
     2: the office of general