Green’s Dictionary of Slang

dhooraling n.

[? dimin. of Irish dúr, hard or stiff, thus ‘stiff little thing’]

(Irish) the penis.

[Ire]‘The New Dhooraling’ in A. Carpenter Verse in Eng. in 18C Ireland (1998) 400: The sporting girls take great delight / In his sweet company day and night. / On his bagpipes he plays then a tuneful spring, / While he muffles the tune on his Dhooraling / [...] / In raptures round him she did cling, / Whilst he played her the humours of Dhooraling.