I looked up the Elections office information for certain Texas counties that were selected entirely at random. If there's any errors I'll try to fix them
Harris County
https://www.harrisvotes.com
Harris County Administration Building
1001 Preston St, 2nd Floor, Room 200, Houston, TX 77002
Phone: 713-274-8200
Bellaire Branch
6000 Chimney Rock Rd, Houston, TX 77081
Phone: 713-274-8200
Clay Road Branch
16715 Clay Rd, Houston, TX 77084
Phone: 713-274-8200
Jim Fonteno Branch
14350 Wallisville Rd, Houston, TX 77049
Phone: 713-274-8200
John Phelps Branch
101 S. Richey, Suite E, Pasadena, TX 77506
Phone: 713-274-8200
Mickey Leland Branch
7300 N. Shepherd Dr, Houston, TX 77091
Phone: 713-274-8200
Palm Center Branch
5300 Griggs Rd, Houston, TX 77021
Phone: 713-274-8200
Raul C. Martinez Branch
1001 SGT. Macario Garcia, Houston, TX 77011
Phone: 713-274-8200
Spring Branch Branch
1721 Pech Rd, Houston, TX 77055
Phone: 713-274-8200
Dallas County
https://www.dallascountyvotes.org/
1520 Round Table Dr., Dallas, TX 75247
Phone: 469-627-8683
Bexar County
https://www.bexar.org/1702/Elections-Department
1103 S. Frio St., Suite 100, San Antonio, TX 78207
Phone: 210-335-VOTE (8683)
Travis County
https://tax-office.traviscountytx.gov/voters
Main Office
5501 Airport Blvd, Austin, TX 78751
Phone: 512-854-9473
Southeast
4011 McKinney Falls Pkwy, Suite 1200, Austin, TX 78744
Phone: 512-854-9473
Downtown
700 Lavaca St, Austin, TX 78701
Phone: 512-854-9473
Tarrant County
https://www.tarrantcounty.com/en/elections.html
2700 Premier St., Fort Worth, TX 76111
Phone: 817-831-8683
Fort Bend County
https://www.fortbendcountytx.gov/government/departments/administration-of-justice/elections-voter-registration
4520 Reading Rd., Suite A-400, Rosenberg, TX 77471
Phone: 281-341-8670
El Paso County
https://epcountyvotes.com
500 E. San Antonio Ave., Suite 314, El Paso, TX 79901
Phone: 915-546-2154
Williamson County
https://www.wilco.org/elections
301 SE Inner Loop, Suite 104, Georgetown, TX 78626
Phone: 512-943-1630
Hidalgo County
https://www.hidalgocounty.us/105/Elections-Department
213 S. Closner Blvd., Edinburg, TX 78539
Phone: 956-318-2570
Cameron County
https://www.cameroncountytx.gov/elections/
1050 E. Madison St., Brownsville, TX 78520
Phone: 956-544-0809
Hays County
https://www.hayscountytx.gov/elections/voter-registration
120 Stagecoach Trail, San Marcos, TX 78666
Phone: 512-393-7310
Webb County
https://www.webbcountytx.gov/ElectionsAdministration/RegisterToVote/
1110 Washington St., Suite 103, Laredo, TX 78040
Phone: 956-523-4050
Starr County
https://www.co.starr.tx.us/page/starr.Elections
100 N. FM 3167, Ste. 218, Rio Grande City 78582
Armandina Martinez
Director
Ph: (956) 716-4843
Guadalupe N. Gonzalez
Election Supervisor
Ph: (956) 716-4843
Sonia Rodriguez
Election Clerk
Ph: (956) 716-4843
Rebecca Reyna
Voter Registrar/Tech
Ph: (956) 716-4843
Maverick County
http://www.co.maverick.tx.us/81/Elections
Elections Administrator
501 E MAIN ST.
STE B
EAGLE PASS TX, 78852
(830) 757-4175
Willacy County
https://www.co.willacy.tx.us/page/willacy.Elections
Christina Rodriguez
Elections Administrator
190 N. 3rd St. Room # 158 Raymondville, Texas 78580
Office (956) 689-2387
Fax (956) 689-5341
Zavala County
https://www.co.zavala.tx.us/page/County Tax AssessorCollector
200 E. Uvalde St., Ste. 1
Crystal City, TX 78839
Phone: 830-374-2351
Duval County
https://www.co.duval.tx.us/page/duval.Elections
Elections Administrator
400 E. Gravis
Basement
P.O. Box 308
San Diego, TX 78384
Tel: (361) 279-6278
Fax: (361) 279-6297
bobby.gonzalez@co.duval.tx.us
Gracie Cruz - Deputy Voter Registrar
(361) 279-6275
Dimmit County
https://www.dimmitcounty.org/government/departments/tax_assessor_collector.php
212 N. 4TH St.
Carrizo Springs, TX 78834
Phone: (830) 876-9904 ext. 1
Brooks County
https://www.co.brooks.tx.us/page/brooks.Elections
Ed Rachal Memorial Library
203 Calixto Mora Ave
P.O. Box 714
Falfurrias, Texas 78355
Phone: 361-325-5670 x 369
Presidio County
https://www.co.presidio.tx.us/page/presidio.Voting.Elections
300 N. Highland Ave., Marfa, TX 79843
Phone: 432-729-4081
Jim Hogg County
https://www.co.jim-hogg.tx.us/page/jim-hogg.Elections
102 E. Tilley St., Hebbronville, TX 78361
Phone: 361-527-4030
Culberson County
https://www.co.culberson.tx.us/page/culberson.Elections
300 La Caverna St., Van Horn, TX 79855
Phone: 432-283-2057