Valda,
This seems suspicious! I have:
Alfred Coole, 1845, Bristol (Cordwainer in Bristol in 1861)
Elizabeth, 1847, Bristol
Alfred, 1868, Abersychan
Emily, 1870, Abersychan
These dates, birth locations and Alfred's occupation seem to suggest they are the same family. I wonder whether there was some reason for them to give a false name? By 1881 Alfred had died (although a daughter Bertha was born in 1878) and Elizabeth and the children were back in Bristol (listed as COLE).
Peter