Who is George/Patty, Lily, Madame Odelia Pandahr from The America Play, and Other Works and what is their importance?

These three female characters are trapped in conceptions and belief systems about love, relationships and marriage that metaphorically and simultaneously evoke conceptions and belief systems about race. George changes her name to Patty in an attempt to avoid the traps placed upon her by Lily and Madame Odelia Pandahr, whose last name means, essentially, the same thing as "pimp," but at the conclusion of the play seems to still be just as trapped.