The Collaborative International Dictionary of English v.0.48:

Parsee \Par"see\ (p[aum]r"s[=e] or p[aum]r*s[=e]"), prop. n.
   [Hind. & Per. p[=a]rs[imac] a Persian, a follower of
   Zoroaster, a fire worshiper. Cf. Persian.]
   [1913 Webster]
   1. One of the adherents of the Zoroastrian or ancient Persian
      religion, descended from Persian refugees settled in
      India, and now found in western India; a fire worshiper; a
      Gheber.

   Syn: Parsi.
        [1913 Webster]

   2. The Iranian dialect of much of the religious literature of
      the Parsees.
      [1913 Webster]

WordNet (r) 3.0 (2006):

Parsee
    n 1: a member of a monotheistic sect of Zoroastrian origin;
         descended from the Persians; now found in western India
         [syn: Parsee, Parsi]