Parsing inflected forms may not always work as expected. If the following does not give the correct word, try Latin Words or Perseus.
Tĕāte, is, n., a town on the Adriatic Sea, near Corfinium, now Chieti, Sil. 8, 521; 17, 454.
Hence, Tĕātīni, ōrum, m., the inhabitants of Teate, Plin. 3, 12, 17, § 106.