French word tirailler comes from French tirer, French -ailler

Detailed word origin of tirailler

Dictionary entry	Language	Definition
tirer	French (fra)	To draw (conclusions), to consider (consequences). To draw, drag, pull. To leave a place. To shoot.
-ailler	French (fra)	Forming verbs with frequentative effect, often somewhat pejorative.
tirailler	French (fra)	(figuratively) to tear somebody in two, to make somebody hesitate. To pull, to tug. To skirmish.

Words with the same origin as tirailler