The Alabama operations were conducted from terminals in Birmingham (BHM) 3654 Industrial Pkwy, Gadsden (GDS) 1094 Crenshaw Street, Huntsville (HSV) 350 Lanier Rd in Madison, Mobile (MOB) 1865 Conception Street, Montgomery (MGY) 2866 Oyramid Avenue and Opelika (OPA) 791 Westpoint Pkwy. The Opelika facility also served the Columbus, Georgia metropolitan area.
Using the 1986 Thurston Customer Service Guide for reference I drew a map showing the Alabama counties that were serviced by the various terminals in the state.

The only Arkansas terminal was located at 900 East 4th Street in Little Rock. The only points served in the state from the Little Rock terminal was Bauxite, Benton, Bryant, Conway, Jacksonville, Little Rock, Maumelle, Mayflower, North Little Rock, Pine Bluff, Red Field and Sheridan. West Memphis was served by the Memphis, Tennessee.
California Operations were through two terminals, the San Francisco terminal at 621 Daggett Street in Union City and 714 Lamar Street in Los Angeles. Not sure how freight arrived or dispatched from closest terminals in Tennessee and Texas. It could have been via team sleeper operation, or using railroads hauling trailers as piggyback. My safe guess would have been team sleeper operation as the 1986 Customer Service Guide shows 3 to 4 days transit time from Dallas. I don’t think railroads could have done it that time frame.
Thurston did serve the Toronto, Canada area with a terminal located at 1400 Britannia Rd East in Mississauga.
There were two Connecticut terminals used by Thurston. In the Bridgeport area one was at 55 Carlson Rd in Orange, CT and in the Hartford/Springfield area there was a terminal in East Windsor on Prospect Hill Road

All Delaware Points served by the Philadelphia, PA terminal
All District Of Columbia points were serviced by the Baltimore, MD terminal
Florida terminals were located at the following locations: Jacksonville ( 2225 Broadway), Miami (3200 NW 125th Street), Orlando (1401 E Landstreet Road), Tampa (7801 Industrial Lane) West Palm Beach Area (1301 West 15th Street Building A-1 in Rivera Beach)
Some Florida points were handled by the Mobile, Alabama terminal. Those points included Brownsville, Cantanment, Century, Ensley, Fidelis, Gonzales, Molino, Pace, Pensacola, and Warrington
There were six terminals in Georgia: Albany (1922 Lebo Rd), Athens (855 Newton Bridge Rd), Atlanta (1460 Moreland Av SE), Augusta (1045 Jefferson Davis Hwy in North Augusta SC), Macon (4385 Worsham Av) and Savannah (892 Highway 80 West)
The two Illinois terminals were Chicago at 4359 West 36th Street and in Lake County at 2053 Swanson Court

The only terminal Thurston had in 1986 in Indiana was in Indianapolis at 2506 South California Street.
There were two Kentucky terminals, one in Bowling Green at 3358 Sutherland Drive and in Louisville at 6709 Grade Lane.
In Baltimore, Maryland the terminal was located at 2300 Walnut Avenue.
In Ohio Thurston Motor Lines had four terminals in 1986. Serving the Cleveland/Akron/Canton area there was a terminal in Richfield at 3024 Brecksville Road. In the CincinnatiDayton area the terminal was at 3739 Hauck Road. Columbus terminal was located at 1400 Thrailkill Road and serving Mansfield was a terminal in Shelby. The Shelby terminal was a former Branch Motor Express terminal in Building 7 of the Central Ohio Industrial Park.
Pennsylvania had four terminals also. For Allentown there was a facility in Bethlehem on Stoles Park Road. Harrisburg was served by a terminal in nearby Etters at 1015 Old Trail Road. In Lancaster operations were conducted from the rear of 1457 Mannheim Pike. Philadelphia had a terminal at 3030 South 63rd Street.
South Carolina had five terminals since this was another important state in the operations. on the North Augusta side of the Georgia border was a terminal at 1045 Jefferson Davis Highway. The Charleston terminal was at 1923 Stromball Street. There was a facility in West Columbia at 1009 Harbor Drive. A terminal in Florence was at 1622 South Main Street and one in Greenville along I-85.
Tennessee had six Thurston terminals; Chattanooga (2230 Polymer Drive), Humboldt (3545 East Mitchell Street), Knoxville (3718 Governor John Sevier Highway), Memphis (2727 Farrisview Blvd), Nashville ( 2464 Couchville Pike), Tri-City (Blountville)
Texas is such a big state but Thurston had only three terminals there; Dallas (3818 Irving Blvd), Fort Worth (1508 Baurline Rd), and Sherman (2001 South Armstrong St)
The four terminals in Virginia were located at: Norfolk (410 Freeman Avenue in Chesapeake), Richmond (6110 Jefferson Davis Highway), Roanoke (1007 Cherokee St NE), and Waynesboro area (Fishersville)
The only terminal in Wisconsin was in Milwaukee at 1011 West Layton Avenue