His gravestone spells his name as Thadeus Remy.

The will of William Remy who died in 1816 in Floyd Co., Ky shows his descent from that William being William -> John -> William -> Thadeus:

The Last Will and Testament of William Remy of Floyd Co., KY dated 28 Apr. 1816, and was proved Dec. 1816: IN THE NAME OF GOD AMEN; WHEREAS I, WILLIAM REMY, of the County of Floyd, State of Kentucky...First, I lend to my wife, Eleanor Remy, my plantation for her natural life and at her death I leave it to be divided amongst seven of my children now living in Floyd Co KY, Viz., JOHN REMY, JAMES REMY, WILLIAM REMY, DANIEL REMY, DORCAS JAYNE, CATHERINE WHEELER, JEMIMA AUXIER. To my daughter ELEANOR ROLAND $10 cash and to my daughter MARY UNDERWOOD, living in Virginia $10 cash...To STEPHEN WHEELER, for schooling of his son, WILLIAM REMY WHEELER, and his brothers...To JOHN REMY fo schooling of his son, WILLIAM REMY, and for his grandson, THADEUS REMY...To WILLIAM REMY for schooling of his son WILLIAM REMY, two years and for the schooling of one of the sons of JOHN AUXIER... To DANIEL REMY for schooling of his son WILLIAM REMY...Executors: JOHN REMY, WILLIAM REMY, JOHN AUXIER...Witnesses: THOMAS LEWIS, JOHN REMY JR.