I've changed the father, Henry Charles, birth place to Wales from his naturalization record. The son, Charles Henry, was born on the 16th Nov 1879 at 16 Mount Pleasant, Saltney (saltney is on the border of North Wales, UK, and if searched this address will come up as Flintshire, North Wales, not Chester Cheshire England) He was Baptized 18th December 1879 at St John the Baptist Church, in the parish of Chester St John, Chester, Cheshire, England.
Parents, Henry Charles and Emma, and Charles Henry, were enumerated in the 1881 census of Cheshire, England.
The same group is named in immigration records from 1892.