William Maxwell was an Irish-born brigadier general in the Continental Army during the American Revolutionary War.

The Battle of Cooch's Bridge, also known as the Battle of Iron Hill, was fought on September 3, 1777, between the Continental Army and American militia and primarily German soldiers serving alongside the British Army during the American Revolutionary War. It was the only significant military action during the war on the soil of Delaware, and it took place about a week before the major Battle of Brandywine. Some traditions claim this as the first battle which saw the U.S. flag.