Pat -
Aren't those features considered to be "Cops"? Until recently, I had always struggled with why those features would be built on early golf courses. However, when I was flipping through a club history on Royal Lytham and St. Annes, they had an early routing of the club from 1889 that shed some light on this. For this course, they had leased some land from various farmers in the area (who ultimately took the land back and the course relocated to its current site in 1897). There were a number of lines on the routing map, indicating the various farmers' parcels. Under the routing was the following note:
"The lines show boundaries of the farmers' fields. These were the 'Cops' (turf dykes) standing 6 feet high. Stiles were built over them and as time went on openings were cut through them."
I think these features were designed to keep sheep on each farmers' land. In Lytham's case, the turf dykes were played over, rather than being removed, especially since the club didn't have a long-term lease on the land. I suspect this could have been the case in other places, as well.