The Bibliography of Smith County, Texas, is broken down into time periods as well as topics:
Civil War--General (as well as subdivisions for Camp Ford, Ordnance Works, and Units Raised in Smith County)
Of course all of the topical files fall somewhere within these date ranges, so if you are working on the Depression in Smith County, you will also need to look at Biography, Education, Business, Industry, etc.
For a short one volume chronological book on Smith County, see: A Chronological History of Smith County, Texas, by Donald W. Whisenhunt, Tyler: Jack T. Greer Memorial Fund of the Smith County Historical Society, 1983. F392.S55 W55.
If newspapers exist for your time period, you would need to spend some time looking through them. See Newspapers under the People tab.
For an example of a UT Tyler thesis that takes a time segment approach, see "The Hub of East Texas: A History of Tyler, Texas, 1918-1940" by William Norman Large (1992) F386 .L37 1992, or one which combines a time period and a topic--"The Opera House Era in Tyler, 1879-1914: A History of the Legitimate Theatres in a Typical Small Texas Community" by Jerry Allen Simpson (1991) NA6835.T95 S56 1991.