The old lady is beginning to behave quite dottily.    From Wordnet, Princeton University. 

I imagine that if I found myself in an airport with Fitz, I would be beaming more or less dottily in his direction too.    From Wordnik.com.  [Firedoglake » Some Thoughts on Fitz, Rove and Things] Reference

She remembered Kanner -- remembered, also, Caris 'uneasiness at operating without a master, or with only the dottily masterful Antryg to give him orders.    From Wordnik.com.  [The Silent Tower]

Husband Myron, played particularly dottily by Derek Boyes, is too wrapped up in dreams of winning lottery tickets to intervene in the family's dramas, while grandpa Jacob (William Webster) is too weak and old to stop Bessie's plots.    From Wordnik.com.  [The Globe and Mail - Home RSS feed] Reference

“Don’t,” she found herself dottily wishing, “let anything beastly happen.    From Wordnik.com.  [Tied Up in Tinsel]

Between the beloved first lady of Broadway, Angela Lansbury, for her dottily irresistible Madame Arcati in the mediocre revival of Noël Coward’s Blithe Spirit, and the amazing Amanda Root for her hilariously exact portrait of British middle-class bossiness and bristling resentment in The Norman Conquests.    From Wordnik.com.  [Tony S. at the Tonys] Reference