This spot was in the old Tudor days the place of execution for the northern parts of Surrey; and here the Vicar of Wandsworth, his chaplain, and two other persons of his household, were hung, drawn, and quartered in 1539 for denying the supremacy of Henry VIII. in matters of faith.
And in another place, BHO names the Vicar:
In our account of the Old Kent Road (fn. 4) we have mentioned the fate of Griffith Clerke, Vicar of Wandsworth, his chaplain, and two other persons. They were hanged and quartered at St. Thomas a Waterings on the 8th of July, 1539, for denying the royal supremacy.
The old Catholic Encyclopedia has these details about those martyred on July 8, 1539, highlighting the Venerable Waire, and:
Venerable Waire and Venerable John Griffith Clarke are among those declared Venerable at the beginning of the Cause for the English Martyrs during the reign of Pope Gregory XIII. Just enough is known about them for them to be so honored, but:
In the article about the English Reformation Martyrs for the Catholic Encyclopedia, author J.H. Pollen made these comments about the two known martyrs of July 8, 1539:
In 1536, Reginald Pole, in exile, wrote "Pro ecclesiasticæ Unitatis defensione" (Defense of the Unity of the Church) to protest against Henry VIII's usurpation of the title of Supreme Head and Governor of the Church in England, making himself the Vicar of Christ. Soon after sending it to Henry, Pole was named a Cardinal by Pope Paul III and then Legate. He was involved in efforts to make the Pilgrimage of Grace more successful. His brothers and mother were arrested in connection with the Exeter Conspiracy; his brother Henry Pole, Baron Montagu was executed on January 9, 1539 and his mother remained under arrest until her beheading on May 28, 1541. If Venerables Waire and Griffith Clarke were accused of supporting Pole, the charges against them included not just denial of the Supremacy, but involvement in rebellion against the king. We don't know if they had been held in prison like the trio of Queen Katherine of Aragon's chaplains and counselors, Thomas Abel, Richard Fetherston, and Edward Powell, refusing to accept Henry VIII's new title, or if they had, like the great abbots of the monasteries of Reading, Glastonbury, and Colchester, taken the oath and then regretted it, hoping for a return to the unity of the Church under the Vicar of Christ. Either way, they were brave men, even in obscurity. May the same be known of us someday, however dimly.