Near the end of season two, Joey visits her mother's grave after Abby Morgan's funeral. You see the name on the grave is Lillian Josephine Potter. From that you assume Joey is named after her mother. Then in Season 3, when Joey goes to visit a college and meets A.J. - she talks about how her favorite book is Little Women because her mom named her after one of the characters. This may be true, but wouldn't it make more sense if Joey was named after her mother with the same name?