To task too heavily; to give someone or something too many tasks; to overburden.
We were almost always under fire from the enemy; but with the utmost cheerfulness, and even, I may say, good-humour, the whole of the infantry did all in their power to lighten the work of the overtasked artillerymen: comrades we were, all striving for the accomplishment of one purpose--that of bringing swift and sure destruction on the rebels who had for so long a period successfully resisted our arms.
From over- + task.
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