My only connection with Diver/Tumber is that I hold a copy of the marriage certificate for 17 July 1859 between Sophia Tumber and Edward Diver which took place in Bishopsbourne (near Canterbury) Kent, England. I had been in contact with a Ron Tumber in Ontario who is a descendant of Sophia. Ron's grand-father was the grandson of Sophia.
Can't really help any more on 'Diver' although I do have quite a bit of info on various Tumber lines. Contact me if I can help more