Adelaide is my second favourite girls name too- I love it :)
I plan on naming my second daughter
Adelaide one day, and she'll probably go by
Addie alot of the time, and her full name alot of the iem too. I also plan on calling her
Addie May - my combo is
Adelaide Lucy Aviva, and
Aviva means spring,
May is spring in the northern hemisphere (yes it's a stretch, and to be honest, I don't care that it is :) I can also see Ads creeping in, it's a naturual progression for me to shorten a name to the first syllable and add an s. She'll probably also get Lady and Ladybug, as well as a million other unrelated nn's.
So that's my long winded answer to waht nn's I'd use for
Adelaide. Sorry ;)
I like it with
Eleanor and
Margaret. I love the name
Eleanor but couldn't use it myself- I already know one, who mainly goes by
Elly.