I was online and I found the Potter name generator. You can enter your real name and get a potter name! I entered my alias. It told me I was Alice. I did the same for the others, with their full alias, it told me they were all fleur. I did our real names too, which I won't mention. I got Minerva, Lily got Angelina, Silver got Hermione, and Fluffy also got Angelina. I seriously don't know how they choose, but I did it a second time and got the same results. Go ahead and try your names! Here is the link:
name generator
~Ice Cream out!
name generator
~Ice Cream out!