Wordnet 3.0
NOUN (2)
1. 
 a member of one of four linguistic divisions of the prehistoric Greeks; 
2. 
 the ancient Greek inhabitants of Attica and related regions in Ionia; 
ADJECTIVE (1)
1. 
 of or pertaining to the ancient Ionians who lived in Attica and related territories, to their Ionic dialect of Greek, or to their culture; 
The Collaborative International Dictionary of English v.0.48:
Ionian \I*o"ni*an\, a. [L. Ionius. See Ionic.]
   Of or pertaining to Ionia or the Ionians; Ionic. -- n. A
   native or citizen of Ionia.
   [1913 Webster]
WordNet (r) 3.0 (2006):
Ionian
    adj 1: of or pertaining to the ancient Ionians who lived in
           Attica and related territories, to their Ionic dialect of
           Greek, or to their culture
    n 1: a member of one of four linguistic divisions of the
         prehistoric Greeks
    2: the ancient Greek inhabitants of Attica and related regions
       in Ionia