DD's name is registered as Esme. Sometimes we call her that, but more commonly we address her by a nickname.
Nicknames in current usage are:
Ezum
Ezum Bezum
Ezum Bezum Boo Baa
Ezmatron
Ezmatronicles
Ezmatronicles of Narnia
Obviously for the purposes of this post I am discounting nicknames not tangentially related to her given name, such as Mrs Snuffles or StinkerWinker.
I think that this is probably a completely normal about of affectionate pet names for a child to have.