The name Andromache is a girl's name meaning "battle of man". Andromache and is often added to lists like Names with Military Meanings and discussed in our forums with posts like "Love, Like, Lose -- Outlandish/Guilty Pleasures edition!".
From the experts:
Andromache is a name found scattered throughout ancient literature. She was Hector's long-suffering wife in The Iliad and The Odyssey, featured in The Trojan Women and Andromache by Euripides, then later appeared in Shakepeare's Troilus and Cressida, and Jean Racine's 1667 play Andromaque. It is not likely to make many appearances in the modern world.