Forget-me-not would be such a wonderful name for her 😭😭😭😭 (even if a little hard to say but it just fits her so well!!)
And yes! :D My other games are all set in the same world at different time points but I purposefully try to keep them as separate as possible so you don't have to know one story to enjoy the others. In Butterblue, the city of New Working that her and her father lived in was the same city that Fia moves to in A New Don! And the textbook written by Dr. Frank is a reference to Dr. Frank's Build-a-Boyfriend. :)