No, he is not. George Glenn Jones, born in Saratoga, Texas, raised in Vidor, TX and was born to George Washington Jones & Clara Margaret (Patterson). On the other hand, Sir Thomas Jones Woodward, born in Pontypridd, South Wales: to Thomas Woodward and Freda (Jones).
No, the singer George Jones and his wife Nancy do not have kids. His wife Nancy has a daughter from a previous marriage. George Jones was also married to the singer Tammy Wynette and Shirley Ann Corely.