A train of carriages was attached to a locomotive engine of the most improved construction, and built by Mr. George Stephenson, in the following order:—(1) Locomotive engine, with the engineer and assistants; (2) tender with coals and water; next six wagons loaded with coals and flour; then an elegant covered coach, with the committee and other proprietors of the railway; then 21 wagons fitted up on the occasion for passengers; and, last of all, six wagons loaded with coals, making altogether a train of 38 carriages, exclusive of the engine and tender. Tickets were distributed to the number of nearly 300 for those whom it was intended should occupy the coach and wagons; but such was the pressure and crowd that both loaded and empty carriages were instantly filled with passengers. The signal being given, the engine started off with this immense train of carriages. In some parts the speed was frequently 12 miles per hour, and in one place, for a short distance, near Darlington, 15 miles per hour, and at that time the number of passengers was counted to 450, which, together with the coals, merchandise, and carriages, would amount to nearly 90 tons. After some little delay in arranging the procession, the engine, with her load, arrived at Darlington a distance of eight miles and three-quarters, in 65 minutes, exclusive of stops, averaging about eight miles an hour. The engine arrived at Stockton in three hours and seven minutes after leaving Darlington, including stops, the distance being nearly 12 miles, which is at the rate of four miles an hour, and upon the level part of the railway the number of passengers in the wagons was counted about 550, and several more clung to the carriages on each side, so that the whole number could not be less than 600. EARLY RAILWAY COMPETITION.