This one has a lot going for it ... great national park countryside, a steam railway and one of the most unusual pubs in the country. There's even a village used in a TV "drama".
From Grosmont station car park, cross the footbridge over the Esk Valley line, accessed in the corner of the car park. Walk through the wooded overflow car park and reach the road opposite the village sports field. Turn right, cross the narrow road bridge, don’t be tempted by the footbridge on your left, but instead leave the road along the former toll road a few yards further on.
Follow this track as it curves left under the Esk Valley Line and past a former toll cottage which still has the prices on a board on its gable end.
You’ll reach Egton Bridge via the entrance to Egton Manor, and when you reach the road turn left, following it as it turns right and crosses the Esk. A few yards further on, follow the footpath sign to the left and climb through woods until you reach a three-way road junction next to Blue Beck Cottage. Take the road in front of you, then follow the footpath sign to your left through Low Hollins Farm. After two fields, go through a gate and turn sharp right up a gentle slope across the edge of a small wood, then follow the yellow waymarks diagonally across two fields before reaching a minor road at High Burrows Farm.
Turn right along the road, with woods to your right and fields to your left. At the top of a hill, as the road turns right, take the bridleway that goes south for half a mile until it reaches the road. Turn left and follow this for a short distance before leaving at the second footpath sign on your left. It’s a bit tricky here as you go through fairly dense woods, but if you keep going downhill (roughly East) you’ll eventually reach the empty Murk Esk Cottage, follow the path down until it joins the path on the original railway line.
Turn right and follow this as it curves left. If you are thirsty now, you can access Beck Hole on your left, but if you can wait, stick with the path as it climbs steadily to the edge of Goathland village. Don’t be tempted to join the hordes who think it’s really Adensfield (setting for TV's Heartbeat), but turn left at the road junction and then double back by taking the road heading for Beck Hole (coincidentally named Beck Hole Road). After a hundred yards or so, look out for the footpath on the right and take it through a few fields until it emerges above the preserved railway and two bridges over the Murk Esk.
Follow the path under one of them, a footbridge crossing the river, then climb again to the left past a memorial bench and in front of the wire fence, bear right and walk on with the fence on your left until you pass in front of a farm and follow its track down to a bridge over the railway, which you cross and descend into Beck Hole.

Look out for the busy roads round the supermarket, the traffic lights and the night clubs as you head for the Birch Hall Inn, one of the quaintest boozers in the country (some Raggylads relaxing there, above).
When you have quenched your thirst, leave the pub by turning right over the bridge, and then turn left to follow a footpath sign back down to the former railway. Turn right and follow it for a short distance before crossing the footbridge and joining the Rail Trail for a gentle and easy-to-follow couple of miles back to Grosmont.