Eunice Mulvaney is a resident of Teras Terrace who spends most of her time burrowing underground. She makes her home in a burrow she dug herself, explaining that she's just "more comfortable" there, though she has outfitted her burrow with plumbing and lights and other modern conveniences. She makes a living as Teras Terrace's groundskeeper, tending to the community's public greenspace. (Of course, given the alien nature of much of the flora involved, much of the "greenspace" isn't green at all.)
Eunice is a close friend of Francine Glabergood, and the two engage in frequent gossip sessions.