Linda, Yes the courthouse burned in 1882 reportedly by the outlaw John MIddleton so there are no marriage records before that time. As for wills and obits - you might want to contact the Scott County Historical Society to see if they have an obit for him.
What else do you know about him? When was he born and where. Who were his parents or siblings? Do you know what community he lived in when he died so you could figure out where he was buried?
Have you looked on the Scott County web page - it has tons of info - transcribed cemeteries records, marriage records, and so forth.
I have a lot of info in my database about Scott County but I'm not finding a James Thomas Starr - more info might help me figure itout.