Baytown police say alert employees recognized the man.
Harris County Jail records show 20-year-old James Jackson of Baytown was being held Wednesday on charges of aggravated sexual assault and aggravated robbery. Online records did not list an attorney for Jackson, who's held on $60,000 bond.
Investigators say a Domino's Pizza delivery woman was robbed and raped May 28 by a man who jumped into her vehicle. She recognized him as a man who days earlier stole some wings.
Employees called police on Sunday when Jackson showed up and allegedly tried to order more wings.
Jackson is also suspected in a June convenience store robbery.