Green’s Dictionary of Slang

doodle v.¹

to make a fool of, to cheat.

1821

W.T. Moncrieff Tom and Jerry I viii: No, I’m out of spirits because I have been dish’d and doodled out of forty pounds to-day.

In compounds

doodle-em-buck (n.)

(Aus.) confidence trickery.

1885

Bulletin (Sydney) 9 May 17/3: [They] have so extended the flogging system that when a man sees a woman or child by themselves [...], he had better give them a wide berth if he doesn’t want to risk the skin of his back. By-and-bye we will include petty larceny, drunkenness, and doodle-em-buck.