However, the one-of-a-kind pub was originally constructed for the Stockton and Darlington Railway chairman, Thomas Meynell. What is the world's first railway pub? The Cleveland Bay is a true gem — welcoming, full of character, and exactly what you want from a great local. Whether you’re stopping by for a quiet pint, a family meal, or a night out with friends, The Cleveland Bay never disappoints. Well worth a visit.”The Cleveland Bay is located at 718 Yarm Road, Eaglescliffe, Stockton-on-Tees, TS16 0JE.