From The Collaborative International Dictionary of English v.0.48 :
Zunis \Zu"[~n]is\, n. pl.; sing. Zu[~n]i. (Ethnol.)
A tribe of Pueblo Indians occupying a village in New Mexico,
on the Zu[~n]i River.
[1913 Webster]
From WordNet (r) 3.0 (2006) :
Zuni
n 1: a member of the Pueblo people living in western New Mexico