Now checking Livingston County NY area for Havens families:http://www.rootsweb.com/~nyliving/town/sparta.htm
"[about 1794] Darling Havens settled at North Sparta; John Niblack, on Lot 28; John Smith, Asa Simmons, Robert Wilson, and Thomas Hovey, previous to 1798; amd Peter Roberts, on Lot 27, in 1799. Samuel and James Rodman were early settlers. Most of these were from Penn. The first school was taught by Thomas Bohanan, in 1800-01. The first inn was kept by Darling Havens, at North Sparta, about 1800; and the first gristmill was built by Wm. D. McNair, in 1810."
An L. Clayton Havens was Justice of the Peace in Portage Township, P.O. Dalton, Livingston County, in 1917 (i.e., the family may still have had a presence in the county at that time).
Jo Havens' will, Livonia, Livingston County, NY in the 1830s: he had three daughters, no sons:http://boards.ancestry.com/mbexec?htx=message&r=rw&p...
But also listed on the Wills site are two more Havens: Henry G. and Anna of Sparta. (Above, the original Havens in the area, Darling Havens, was in North Sparta: this may be the real family seat):
HAVENS, ANN SPARTA NY-26-10-433
HAVENS, HENRY G. SPARTA NY-26-14-160
Two more Havens in North Sparta (one of them is Henry, above):
HAVENS, HENRY, farmer 224 acres, po North Sparta, resident Town of Sparta, 1868
HAVENS, W. H., prop. Havens hotel, North Sparta, po North Sparta, resident Town of Sparta, 1868
Lots of Havens in NY 1830 Census--see Livingston Co. entries--and also Genesee--here:http://olivercowdery.com/census/1830_H.htm
That "Ransler Havens" in Genesee is intriguing.
Well, one of those families should be the right one for Ransom Havens, I should think...with luck.