Green’s Dictionary of Slang

tom doodle n.

also Tom a Doodle, Tom-Dingle
[booze n. (1) + doodle n.1 ]

a fool.

[UK]Female Wits I ii: I believe our People wou’d dance after any Tom-Dingle for a pen’rth of Sugar-plums.
[UK]N. Ward Hudibras Redivivus I:7 7: Compos’d of Non-sense and Ill-nature, / Squeez’d out from the illit’rate Noddle / Of some dull, canting, Tom a Doodle.
[UK]Humours of a Coffee-House 10 Oct. 34: The Effeminate Tom-Doodle of a Fop, looks like a Catamite.
[UK]N. Ward Vulgus Britannicus III 33: To make the Sov’raign Pow’r a Bauble, / And labour’d like a Tom-a-doodle, / To place the Rump above the Noddle.