I found Edward arriving at the port of Castle Garden in New York, but no other Broughtons or Smiths coming with him, not even Catherine.
Ed. Broughton, laborer, age 31, male, arrived 8 May 1846, origin Great Britain, ship Rochester, port Liverpool, destination USA
This is the information was found on
www.castlegarden.org. I could not turn up any other Broughtons, or any Smiths coming over at the same time.
The information on this website is still being added, so it's possible the rest of the family was not added yet.