A vandal shattered a window moments before the annual town meeting at Chipping Norton started.
Whoever damaged the town hall window may have used a catapult, according to the council's clerk, Michael Fletcher. Police are investigating.
One councillor, John Grantham, called for teenage yobs to face conscription.
"It would teach them a bit about discipline, respect for other people and the value of other people's property," he said.
But Mr Fletcher said the council did not suffer a "large problem" with vandalism.
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