Are you reading Homeric Greek or studying Homeric Greek with Pharr's Homeric Greek - A Book For Beginners? Here's where you can meet other Homeric Greek learners. Use this board for all things Homeric Greek.
I should not assume easily that I know what a word means but should read the lexicon entry.
It seems seems strange that one preposition can mean something like that.
Like I told one of the Pharr-c-ers; Prepositions are both fascinating and frustrating.
Trying reading it in context, i.e. try to understand this sentence/phrase in the text level, not in the sentence level. Old lexicons and Grammars usually tell you how to translate, rather than explain the Greek and the former is usually the result of their subjective understanding of the sentence, which is usually according to sentence syntax, instead of text syntax (which is the more acceptable in modern linguistics).