The elections are to be held on May 10. However, early voting is scheduled to begin on April 28 at City Hall and end on May 6.
City Secretary Barbara Treviño held a drawing for the names in her office at City Hall at 3 p.m. Friday, March 14.
Two city employees from the finance department, director Caron Vela and Diana Gonzales, drew the names while council candidates Dunn and John Fulghum stood by as witnesses.
Fulghum had chosen to run unopposed in Ward 2 this year after realizing that the incumbent in that ward, Santiago “Jimbo” Martinez, would not be seeking re-election.
Fulghum said he was witnessing the drawing of names for Carabajal.
The Ward 3 councilman and current mayor, Carabajal, is being challenged this year by Benjamin Ray “Benny” Puente Jr., and Dunn will face Domingo V. Salinas in Ward 4.
Fulghum is the current Ward 4 councilman but because he filed to seek office in Ward 2 this year, that left only two candidates in that ward.
Elections will be held only in the two wards for which ballot positions were drawn Friday.
Because Fulghum had no opponent, the election in that ward will be canceled, and Fulghum will be declared the winner of that position.
Members of the Beeville Water Supply District board of directors also will suspend elections for three places on that board.
All three board incumbents, Jim Crumrine, Ronald “Buddy” Hardy and Bill Stockton, filed for re-election, but no one filed to oppose them.