Sorry, tough love session here, but you need to hear this
Your child is in pain. So much pain that they want to end their life
They are alive here and now. A real live person in distress
And you are hung up about a NAME, a random arrangement of letters on a page, that you have imbued with some significance because if your wife' (presumably) long dead ancestor?
Do you love your child? Do you want them to be happy? Hell, do you want them to live?
Do what it takes! Who cares what they call themselves... when they are in a better place IF it is still a thing reopen the conversation if you must... For now, love accept and nurture that human being you brought into the world.
Sorry, not very supportive but you really need to get this sorted. Real life trumps romance every time, your choice of the name was an exercise in romanticism, nothing more.