Unfortunatley, I do not know anything more about this Henry Alderman.I cannot even prove that he is of the same family. Henry and Jacob came to Philadelphia, same date, same ship and both are listed in the Oath of Allegiance for PA and the census.I've done a bit of online searching for Henry with no significant results. Jacob's family does have a recurring name of Henry. My line(Jacob's family)does have descendants as late as 1900 with the ALTERMAN spelling. Incidentally,one Sophia and one Henrica Alterman also came to Pennsylvania aboard the "Colombia" but in the year 1797 and from Amsterdam.