The Esk Valley railway runs from Whitby into Middlesborough and stops at many beautiful places along the way. The Railway’s own website gives the timetables for each station, including Sleights, and walks from each stop.
for a timetable from Sleights click here
the site also gives details of fayres, and places to eat around each station. Travel times approx 72 mins to Middlesborough, and tickets £5.80 for adults (£8.70 for a couple). Whitby is only £2.30.