Is John Greene Warwick, Kent Co., RI of royal descent?

1. John Greene Sr. (c.1597 in Gillingham, Dorsetshire Co., England.to 7-7-1659 in Warwick, Kent Co., RI) m. Joan Tattershall
2. Richard Greene
3. Richard Greene (d. between 5-10-1606 and 5-3-1608 in Gillingham, Dorsetshire Co., England)
Robert Greene
4. John (The Fugitive) Greene (c.1470 of Bowbridge Hill, Gillingham, Dorset, England)
5. John Greene (c.1420)
6. Thomas Greene (1373 in Greene Norton, Boughton, England) m. Ela Malorie
7. Sir Henry Greene (ABT 1352 in Greene's Norton, Towcester, Northamptonshire, England) m. Matilda Mauduit
8. Sir Henry de Greene (ABT 1320 in Greene's Norton, Northamptonshire, England) m. Catherine de Drayton
9. Lucy la Zouche m. Sir Thomas Greene (1292 in Greene's Norton, Northamptonshire, England)