In 1512 (4th year of Henry VIII) Aston married Bridget, one of the daughters of John Harewell, and sister and coheir to Thomas Harewell, of Shotery, in Warwickshire. They had children:
- John, son and heir, married Margaret, daughter of Thomas Ireland, of the Hutt, in Lancashire, in 1546.
- Richard, second son.
- Peter, third son, had a bastard called Thomas Aston(born c. 1546), then living at London.
- William, fourth son, married Anne, daughter of Thomas Ireland of the Hutt, Lancashire, and had children.
- Francis, fifth son.
Aston also had a bastard son called Roger (died 23 May 1612),[3] afterwards Sir Roger Aston, Gentleman of the Bedchamber to King James I, who married Mary Stewart, daughter to Alexander, Lord Ochiltree.