As indicated on the Railway Map of 1915, there was once a railway station in Dinnington (and just down the road in Anston on the same line). The pictures below show the railway station in about 1920 (bit too murky to make a better guess). The picture below is of a railway ticket from Dinnington to Hull (via Doncaster). The map actually indicates that it's Dinnington and Laughton, and the company that owned it was the South Yorkshire Joint Company, a subsidiary of several other railway cos such as the Great Central, and Midland Railways.