When Texas seceded from the Union in 1861, the state largely operated under its existing political structure, which included holding new votes on some matters related to secession and governance. However, the governance typically favored individuals and positions aligned with the pro-secession trajectory. Therefore, the most accurate response from the provided options would be:
"The state placed people in all positions that agreed with the concept of secession."
This reflects how political decisions were influenced by the prevailing pro-secession sentiment and leadership during that time.