Ancestry has a new database that has Tennessee State Marriages, 1765-2002 and there is a listing for

Thomas Beals Emeline White 10 Sep 1840 Greene

Thomas Isaac Beals Sarah Jane Young 6 Oct 1881 Greene

T E Beals Fannie E Campbell 15 Apr 1884 Greene

They also have the images of the ledgers that shows who married them. There are 125 Beals listed in Greene co. If you want to get me to check them out for you email me direct at Richcourt@aol.com and I can check for you.