There is a character and mother from Rugrats named Didi Pickles. Though of course her name is short for something else, can't think of it as of now. Anyway, it's a really interesting name. :)
This is my name and I like it. I don't give a crud if you guys think it's juvenile and "silly". It's not common and overused. It's neither modern or old fashioned, and it doesn't have a meaning to it. It's short and pretty. So when you tell someone your name they actually remember who you are. They're not like "Which one?". This is my real name, not a nickname.
Didi Hill was Hank's stepmother on King of the Hill. She was the same age as Hank and they went to kindergarten together. I think her name was short for Deirdre.