The three fates in Greek mythology were named Clothos, Lachesis and Atropos, but these names don't seem particularly ratty or feminine. I don't know their Roman names.
I had a rat called Rowena when I was a boy. She used to schnuggle in my shirt and sit on my shoulder.
I had others as well (including a big buck that ate hamsters for fun) but she was my girl.
Sorry, we can't find any related questions. Try using the search bar at the top of the page to search for some keywords, or choose a topic and submit your own question.