Thanks for this, it looks like they are the same family, I'm glad I asked. It might explain how they could afford to send him to Oxford. He definitely went there as I have a notebook he wrote there and he is in Culham College's records.

I had found a Thomas Morgan as a possible brother to Henry but wasn't sure if I was right. Henry Morgan was born 1812 died 6/1/1867, Fanny was born 1814 and died 2/10/1891. They married at Awre.
I have found a Hannah who might be Henry and Thomas' sister or cousin and an Elizabeth as another possible sibling. Their mother could be a Sarah but I have yet to find further proof of this.