The runoff will probably be in mid-December, an official in the Texas Secretary of State's office said.
His tenure was noteworthy as the first Texas Secretary of State in recent history to use the office to promote Texas business internationally.
But officials in the Texas Secretary of State's office later announced that state laws simply had no provisions for voting by e-mail or from space.
Cuellar had stepped down and briefly served as Texas Secretary of State under the new governor Rick Perry.
After meeting resistance from local election officials, he sought assistance from Texas Secretary of State Bob Bullock.
She was the sixth and longest-serving Texas Secretary of State and the second woman in the post under Perry.
Andrade is the first Hispanic woman to have served as the Texas Secretary of State.
Hannah also served as Texas Secretary of State for Governor Ann Richards before assuming the federal bench.
James "Patriot" Dillon was the only announced write-in candidate, according to information from the Texas Secretary of State's office.
The Texas Secretary of State had a web site that provides the location of polling places.