The club said the new road would provide direct access from the B3315 to the ground and reduce congestion in the nearby village of Paul.
It would also create opportunities for sport and community events and serve both its seasonal campsite and neighbouring Paul Cricket Club.
Mr Heywood said: “When I was a player here 48 years ago the committee talked about getting a road. For it to actually come to fruition is just an absolute dream.”
The club’s vice president Brian Richardson said the project had all but “petered out” until the prince got involved.
He said some coaches had to park a mile out of the village and players had to walk to the ground before games.
Mr Taylor said the club’s supporters had also been “put off” by the road, which had damaged cars, including his own.