Hi Steph,
I hope you won't mind word of caution: don't try to find information to verify family "knowledge" - search as you would without that knowledge, and if what you find ends up confirming the family story, then fine; if it leads to a different conclusion, but you are confident in the research you have done, then you are likely to be right. [Having said that, you could well be on the right track]
Was Henry's marriage the one I see in Aston in Q4 1837? If so, do you have the certificate? That really should be your next step, to confirm his father's name and occupation.
Charles junior might have emigrated, of course.
Jane