Harris County Pct. 4 Constable's Office said Blanca Baltazar was arrested around 1 a.m. Sunday in the 18200 block of Valebluff Lane.
According to court documents, Baltazar left her four children between the ages of 3 and 7 at her home in Katy without supervision.
Deputy constables stopped Baltazar in the Cypress area during her food run, and said she was "highly intoxicated."
She was booked into the Harris County Jail on a child abandonment charge, and released on a $1,500 bond.