You are better off buying an ordanace survey map of your area as they show them clearer. The Landranger series show them the best. You are looking for Bridleways RUPPS, BOATS and White Lanes for horseriders
The bridleways website does not list individual bridleways, it is a database of horse riding routes and circuits UK wide...very useful but for individual bridle paths you need an OS Map of the particularl area...otherwise email the people on the bridleways website and they will write some routes for you in your area...