I never had a name for my system of alters, and I never gave them one as a collective whole system. some of my alters had names and some didnt. my alters individual names came from what type of alter they were, what emotion they were created for, people I had contact with that I admired at the time the alters were created, some were named after cartoon characters, classmates, pets, book characters, but they never had a name for the whole collective system. probably because my alters were so diverse, individualized with virtually no co consciousness between most if not all of them.

we do have clients that once they have realized and accepted the disorder and accepted their alters come up with a name for the whole system. usually when I ask them how they came up with the name their answer is that the name for the whole system helps them to remember that the alters are parts of them and the name describes what the system is like.

example one name is the tree of life. the host gave the collective whole system that name because they were mapping their alters and the way their system emerged, began reminded the host of a family free - this person split into this and that, this alter split into this that and the other, on down the line

another name a client used here is the fair grounds. they named their system that because their mapping looked like their local fair ground with many different "attractions" in one body.

you can name your system or you dont have to. I have found around here naming the systems is more a personal choice based on acceptance and willingness of the system to work together, hence having one name to fit all.