Tom,
I don't know which one you have in mind, but I'll offer you one you've probably never heard of and almost certainly haven't played.
That would be Gourock Golf Club near Glasgow Scotland. It has not one, but two instances of crossing fairways - the 2nd and 3rd as well as the 14th and 15th. Designed by James Braid/Henry Cotton. Dates from 1896. Exists today with the crossing fairways. Has the most tiring first hole in all of golf, I'd bet.