According to the Sacramento Supreme Court, Lucille is a 38-year old woman, living in Carmichael, California. They've called her up for jury duty twice in the last year, and are looking for a reason for why she shouldn't serve this second time - and they don't just want the standard rubbish excuses.
The rest of the Gordon family have a very good one: she's a dog. "I guess she could [serve as a juror]", reckoned Caryn Gordon, "but if you had a dog-and-cat case, I don't think Lucy could be impartial."
More at the Sacramento Bee website - thanks to Seth for this one.