No, the glasses likely wouldn't be used. Ennis was more inclined to drink straight out of a bottle. Or a canteen, whatever was on hand.
He walked to the stable, and gestured at one of the horses. "'S a calm one, if'n y'want t'ride." He went to Maverick's stall, the horse whinnying and nudging his hand for a sugar cube, snorting when he didn't have one.