Hi
There was a Henry Walsworth who served on HMS Curacoa during the Crimean War, who was awarded the Crimea Medal with Sebastopol clasp, together with the Turkish Crimea Medal.
I was at the National Archives today and consulted Curacoa's Description Book (ADM 38/7900), this showed that in 1854, when he signed on, he was 20, and he gave his place of birth as Portsmouth. He is described as 5' 6'' tall, of being of fresh complexion, with hazel eyes and brown hair.
He originally volunteered on 31 August 1854 at Portsmouth, where he was rated as an Ordinary Seaman. However, on the 21 September 1854 he was advanced to Carpenters Crew. I suspect this is because he gave his previous occupation as 'shipwright'; I therefore think this is your Henry.
He appears to have been paid off from Curacoa on 9 September 1857 (conduct Fair), but there is a suggestion that he then entered HMS Diadem - this needs to be checked.
Martin