There are a number of Thomas Heath's and Robert Heath's with parents named John and Hannah in England. Do you see one that seems more likely to be correct based on your understanding?
Thomas Heath
England Births and Christenings, 1538-1975
christening: 1 October 1796 Christian-Malford, Wiltshire, England
father: John Heath
mother: Hannah
Thomas Heath
England Births and Christenings, 1538-1975
christening: 26 October 1777 Siston, Siston, Gloucester, England
father: John Heath
mother: Hannah
Thomas Heath
England Births and Christenings, 1538-1975
christening: 10 June 1827 BRAMSHALL, STAFFORD, ENGLAND
father: John Heath
mother: Hannah
Thomas Heath
England Births and Christenings, 1538-1975
christening: 30 May 1778 SAINT MARY, READING, BERKSHIRE, ENGLAND
father: John Heath
mother: Hannah
Robert Heath
England Births and Christenings, 1538-1975
birth: 1779
christening: 1779 ST. JAMES, WESTMINSTER, MIDDLESEX, ENGLAND
residence: 1779 Westminster, London, England
father: John Heath
mother: Hannah
Robert Heath
England Births and Christenings, 1538-1975
birth: 1771
christening: 1771 ST. JAMES', WESTMINISTER, MIDDLESEX, ENGLAND
residence: 1771 Westminster, London, England
father: John Heath
mother: Hannah
Robert Heath
England Births and Christenings, 1538-1975
christening: 14 September 1835 CHESTERFIELD, DERBY, ENGLAND
father: John Heath
mother: Hannah
Thomas Heath
England, Cheshire Parish Registers, 1538-2000
christening: 19 June 1808 , Witton-cum-Twambrooks, Cheshire, England
residence: 19 June 1808 , Witton-cum-Twambrooks, Cheshire, England
father: John Heath
mother: Hannah
Thomas Heath
England, Derbyshire, Church of England Parish Registers, 1537-1918
christening: 21 October 1855 Chesterfield, Derbyshire, England, United Kingdom
father: John Heath
mother: Hannah Heath
Thomas Heath
England, Kent, Parish Registers, 1538-1911
christening: 15 July 1824 Cliffe at Hoo, Kent, England
father: John Heath
mother: Hannah Heath
Robert Heath
England, Staffordshire, Church Records, 1538-1944
baptism: 23 May 1829 Bramshall, Staffordshire, England, United Kingdom
father: John Heath
mother: Hannah Heath
Thomas Heath
England, Staffordshire, Church Records, 1538-1944
baptism: 10 June 1827 Bramshall, Staffordshire, England, United Kingdom
father: John Heath
mother: Hannah Heath
Thomas Heath
England, Staffordshire, Church Records, 1538-1944
baptism: 17 August 1834 Cauldon, Staffordshire, England, United Kingdom
father: John Heath
mother: Hannah Heath
Thomas Heath
England, Staffordshire, Church Records, 1538-1944
baptism: 17 August 1834 Cauldon, Staffordshire, England, United Kingdom
father: John Heath
mother: Hannah Heath
John Thomas Harrison Heath
England, Staffordshire, Church Records, 1538-1944
birth: 12 April 1875
baptism: 10 October 1875 Horton, Staffordshire, England, United Kingdom
father: John Heath
mother: Hannah Heath
Thomas Heath
England Births and Christenings, 1538-1975
christening: 21 October 1855 St. Mary and All Saints, Chesterfield, Derbyshire, England
residence: Chesterfield, Derbyshire, England
father: John Heath
mother: Hannah
Thomas Heath
England Births and Christenings, 1538-1975
christening: 1827 BRAMSHALL, STAFFORD, ENGLAND
residence: Bramshall, Staffordshire, England
father: John Heath
mother: Hannah
Thomas Heath
England Births and Christenings, 1538-1975
christening: 10 June 1827 Bramshall, Stafford, England
residence: Bramhall, Cheshire, England
father: John Heath
mother: Hannah
Robert Heath
England Births and Christenings, 1538-1975
christening: 23 May 1829 Bramshall, Stafford, England
residence: Bramhall, Cheshire, England
father: John Heath
mother: Hannah
Thomas Heath
England Births and Christenings, 1538-1975
christening: 15 July 1824 Cliffe, Kent, England
residence: Cliffe, Kent, England
father: John Heath
mother: Hannah