The information I have does not match your dates but there is enough the same that it is probably the same person. I have the following unverified information based on a death notice: Albert Gardner Thurber d. 29 May 1938 at Brattleboro Retreat VT - age 73 yrs, 5 mo, 26 days(this would not match an 1873 birth). He was b. 3 Dec 1864 at Leominster MA, salesman, husband of Catherine P. Darling, son of Samuel Heath and Catherine Ann (Gardner) Thurber born in Corinth VT.
I have information on Samuel Heath Thurber, and can track his Thurber line back to Benjamin Thurber and Elizabeth Hallet who m. 1747 in Warren Bristol Co. RI.I have some of this line on my Family Tree Maker Page. Easiest way to access it is though my Thurber Genealogy page at: www.gargaro.com/thurber/
I don't have Samuel Heath on that site yet, but he was the son of Hiram Thurber (Hiram was b. 24 Mar 1803) and is given at the bottom of the page for Generation 3 of Descendants of Benjamin Thurber report. If you want additional details, please email me.