Texas law does not take failure to pay child support lightly. Going to jail is a very real possibility for parents that fail or refuse to make their support payments. Not following a court order to pay child support can lead to a contempt of court judgment carrying a penalty of up to 6 months in jail. Texas Penal Code Sec. 25.05 outlines criminal nonsupport which is a state felony offense that can lead to a sentence of 6 months to 2 years in jail.
This statute states "An individual commits an offense if the individual intentionally or knowingly fails to provide support for the individual's child younger than 18 years of age, or for the individual's child who is the subject of a court order requiring the individual to support the child."
The Texas Attorney General even has a webpage dedicated to listing parents who are delinquent on their child support payments. The page includes the names, number of children, and amount owed by child support evaders.