Trogyllium = "a cache"
1) the name of a town and a promontory of Ionia, not far from the island of Samos, at the foot of Mt. Mycale between Ephesus and the mouth of the river Maeander
Part of Speech: noun proper locative
Of uncertain derivation; Trogyllium, a place in Asia Minor: - Trogyllium.
These two sites give similar information, with the definition from several dictionaries and statistics on the use of the word.
Perseus Digital Library
University of Chicago's Logion lexicon
Thayer's dictionary plus other information.
From this site's dictionary (in Italian)
Click on the first column to search for that word as a form of the root Τρωγύλλιον; click on the second column to search for that grammatical form of the root Τρωγύλλιον; click on the third column to search for that word and grammatical form; click on the total to search for the root Τρωγύλλιον.