Welcome to Rootschat jeffierich. I'm not sure this is the right thread to post a request about Samuel Showell, it might be better moved to the Derbyshire board.
I have looked for births of Samuel Showell between 1840 and 1850 and there are none in Woodhead, Derbyshire. I decided to look at the census, where you found him as a miner and on only one census, does he give his place of birth as Woodhead, Derbyshire. On 1891 census he just gives Derbyshire as his place of birth, 1881 he gives Woodhead, Derbyshire, 1871 he states Newton Heath, Lancashire, 1901 he says he was born at Salter Brook, Derbyshire. There is only 1 Samuel Showell on 1911 census, and he is married to an Elizabeth, so not the one you are looking for.
The mystery is not only who were his parents, but where was he actually born. It would seem that he was born in Derbyshire and Woodhead and Salters Brook are next to each other, so that's the possible birth place, but it's also quite possible that Showell was not his original birth name. It could be the surname of one of the men his mother married.
Lizzie