This image is of HMS Conway (ex HMS Nile) stranded in 1953.
HMS Conway was a naval training school founded in 1859 usually based on a former wooden ship in the Sloyne, off Rock Ferry on the River Mersey and named after the first ship to fulfil this role. Subsequent ships were renamed accordingly.
In 1875 HMS Nile, a 92-gun ship-of-the-line assumed the role. Launched in 1832, she was armed with ten 8-inch (200 mm) guns and eighty-two 30-pounders. HMS Nile took part in the Baltic Blockade during the Crimean War, and later served in the Caribbean.
During World War II, the ship was moved to the Menai Strait to avoid the bombing of Liverpool Docks, but whilst being towed back to Birkenhead for a refit in 1953, she ran aground and was wrecked, and later burned. It was during this event that the image was taken.