Green’s Dictionary of Slang

toodley-oodley adj.

also toodlesy
[nonsense word]

satisfactory.

[UK]Vanity Fair (N.Y.) 28 Sept. 153: If such is to be the musical literature of the future, we would respectfully suggest to the subscribers of the Boston Musical Times to procure, without delay, copies of Matsell’s Rogue’s Dictionary, as they will prove quite Toodlesy – ‘handy to have in the house.’.
[UK]A. Binstead Gal’s Gossip 136: So, thank goodness, that was all toodley-oodley.