TEPaul,
The club at the new Jericho location, designed by Dick Wilson, opened for play in 1955.
In 1967 the club sold off a considerable amount of land near the Jericho Turnpike. I believe you can see the resultant commercial development from the 2nd and 4th tees.
Dick Wilson was asked to return and rebuild, revise and reroute the golf course, which he did, building SIX (6) new holes.
Some of the abandoned holes remain for practice purposes, and that's probably what you remember.
So, I'd guess that you played there after 1967,
Or, that your memory shorts out, circa 1967