Marilyn, this is interesting; I am actually trying to find Outram descendants, and I think we may be more intertwined than I realized.
My grandmother was Jane Hodgkinson Parkinson, granddaughter of Ann Outram Davis who married John Parkinson in Boston July 15, 1823 (they were married by Rev. Dr. Gardiner). Ann Outram Davis' mother was Eliza(beth) Outram, sister of Ann Outram who married David Hinckley. They had a brother, Sir Benjamin Fonseca Outram; and their father was Capt. William Outram.
Now to come back to Hodgkinson: my grandmother Jane Hodgkinson Parkinson's aunt, Jane Hubbard Parkinson, (in other words, another daughter of John Parkinson and Ann Outram Davis), married Frank Hodgkinson in Jamaica Plain, MA (Boston) in 1856. Frank Hodgkinson was a stockbroker, partnering with John Parkinson (his wife's brother, i.e. a son of Ann Outram Davis).
I tried to see the names that you are interested in, to see whether they include some other names which occur in my family; but whenever I try to scroll down your list, my computer crashes. So let me give you some of the other names in my family : Gardiner, Green(e), Hubbard, Austin, Bean.
Let me know whether we indeed also have a Hodgkinson connection...