"No quarter" is a pirate phrase meaning "no mercy." It could also refer to the US Revolutionary War when Great Britain enforced a policy requiring colonial Americans to house British soldiers and offer them food and a bed during the cold of winter. If this policy was refused to a British soldier, this "No Quarter" policy allowed the British soldier to invoke severe punishment (death, sometimes) on the American who refused him. This was only one of the many ways in which Britain attempted to legitimize their treatment of Americans in their effort to interrupt their recapture of the colonies.
Andy - Lubbock, TX