I have the book"Josephine County Historical highlights" vol 1 by Edna May Hill it states:
William B. Hay was born in 1805 in Lee County Virginia. He married Mary Elizabeth Sandsbury in October 1822. Their children were; Jarvis and Jeremiah(Jerry) twin sons born Aug 4,1838; James Willis(Willie),a son born July 10,1842 and a daughter Elizabeth.If you want the entire article let me know and I will copy and snail mail it to you.
They are in the 1860 census.
Jarvis is in the 1870 census
I see hay and Hays in the 1900 census.
Marriages in Josephine county:

James Jarvis married Martha J. Brown oct 23,1860 page 29

vol 1 Josephine county marriage book.
Elizabeth Hay married Joseph Brown march 11 1858 vol 1 page 11 Josephine county marriage book.

William B.Hay took out a donation land claim in Josephine county it says B. 1805 Lee Co Va. arr in Oregon 1 sept 1854; SC 10 Nov/ 1 Dec 1854 M. Elizabeth Sandburg, Oct 1833/5, Laurel Co. Ky.

The indian battle of Fort Hay was documented in
the book"indian Wars Of The Rogue River". I will copy and send that to you snail mail if you have not seen it. Hope some of this is helpful.
Sally