Cow Neck is the property off on your right as you stand on 17 tee, NGLA.
It was supposed to be the site of the Southampton CC, site donated by CB's friend Charles Sabin but in the end they could not get a right of way cleared from the owner of the land in between.
Sabin the put up one half the money for the Southampton CC where it is now located and the "club" personel put up the rest.
Raynor donated his fee ....... actually, I would think Charlie donated Raynor time and design fee
the club was originally to be a muni for al those who could not get into National, Shinney and Maidstone
BTW: there is another area on Long Island further to the west caled Cow Neck (shape of the properties) - I think it is on the peninsula above the Sands Point mens club