If I have got the OP's query correctly identified it will be arrow no.1 on the map below;
Sussamb seems to have answered Scummbunnies question but I wonder if this is a 'lost way'? Lost Ways are the subject of an appeal by the Rambler's Association, which does not seem to be getting much attention, perhaps because they are not demonstrating how lost way actually affect walkers day to day access to the countryside.
I originally identified this anomaly on my rather dated Memory Map that does not have Open Access (OA) marked, but as this example rather intrigued me I harvested this map from 'Streetmap'. The edge of OA appears at the top right and runs N to S of image, but is the boundary of Cannock Chase OA. The map shows an unpaved road that presumably was the drive to Teddesly Hall, since demolished!
Why was a bridleway recorded that just stops at the A 34 when as possible continuation of way is shown by the complete line of access across the old estate leading to Penkridge (edge of. shown left/lower side of map). Sadly the lack of study into our 'off road' network has left many unanswered questions, there be many reasons that do not immediately come to mind today. One such historic reason that has shown up elsewhere was the need to take milk to the rail stations prior to the Milk Marketing Board, set up after WW2, being considered unnecessary when the Definitive Map was compiled. But the purpose of the Definitive Map (DM) was to create access to the countryside.
Lost Ways are often little bits of the jigsaw, misplaced in time, which could add up to a more complete access network that serves the needs of the 21st century. Penkridge Rail station still operates, despite the closure of many stations that could give access off main line rail to the countryside.
Were the unpaved roads of the defunct Teddesley Park Estate considered to be accessible? This was a mistake that was frequently made by the original compilers of the DM and this would be supported by the Rights of Way that finish and points 3 and 4. There is another anomaly on the eastern side of Cannock Chase caused by the seeming respect for the privacy of the Earl of Anglesea's Beaudesert Estate, only the Estate was sold up and Beaudesert Hall allowed to fall into ruins a decade or more before the DM was compiled.
The original grand drive to the hall landscaped because of the location is now little more than a farm access track, but if was allowed to be included into the DM, it would now created a line of travel through the Chase that avoids urban sprawl.