I don't know if you're still searching for Edward Foley as your post is 3 years old now, but I am a direct descendant of Edward Foley. He was my Great-Great-Great-Grandfather.
There are still quite a few Foleys in West Bromwich, and in fact a distant cousin of mine on the Foley side is still in the Canal barge business.
In 1861 Edward was on a barge in Cheadle, Staffordshire called "The Rifle Man", his wife Rebecca (nee Reeves) is not with him at this time, but he has four of the children with him (Eliza, Emma, Phoebe and Joseph). I believe Rebecca was not with him at this time as my Great-Great Grandfather (George) was born around this time. My Great-Grandfather was Samuel Foley, who died aged 46. Three of Samuel's children are still alive, including my Grandmother.
I am still researching and haven't gone back to 1851 but will post again when I have more information.
Just out of interest, what is your connection with the Foleys?
My tree is on Ancestry.co.uk