The phrase 'After Domino' contains an error. For 'after' isn't a word in the ancient, classical Latin language. Perhaps the word that's meant is 'afer', which means 'African'. The correct phrase...
I would guess there should be a verb in here, like dat, meaning '(he/she/it) gives.' With that verb, I'd translate this sentence as: "The slave-woman gave wine to the master."
It is always a mistake to take a Latin word out of its context, since the meaning depends entirely on the other words in the sentence. Domino can mean to or for a lord or master; it can also mean by,...
Domino means master, or owner. With an -o ending, it is in either the dative or ablative form, meaning that it is usually either being used as an indirect object (to the master, for the master, etc.)...