The site is called First Encounter Beach.  On Dec. 7, 1620, Miles Standish, military commander of the Mayflower with about 15 men went exploring for a settlement site. They encountered and fought off about 30 Indians -- no one was hurt on either side. The Indians were enraged because of the theft of their materials and corn.

First Encounter Beach along Cape Cod Bay in Eastham.

Eastham /ˈiːsthæm/ is a town in Barnstable County, Massachusetts, United States, Barnstable County being coextensive with Cape Cod. The population was 5,453 at the 2000 census.

• http://en.wikipedia.org/wiki/Eastham, Massachusetts
• Philbrick, N., 2006, Mayflower: Penguin Books, New York, 463p.