Wyvern Shipping Co is located in Leighton Buzzard, United Kingdom on Rothschild Road. Wyvern Shipping Co is rated 5 out of 5 in the category boat charters in United Kingdom. About Us. The Wyvern Shipping Company Limited was founded in 1953 as a carrying company with three pairs of narrow boats. These boats mainly carried coal from the Coventry coal fields to London and returned with timber to Birmingham.