His baptism index:

First name(s) Thomas
Last name Cartwright
Birth year 1767
Baptism year 1767
Baptism date 26 Jan 1767
Place Congleton, St Peter
County Cheshire
Country England
Mother's first name(s) Penelope (on image but not transcribed)
Father's first name(s) Thomas
Father's last name Cartwright
Record set Cheshire Diocese of Chester parish baptisms 1538-1911
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A MI is to be found for him in Old St German’s church:

“To the memory to Thomas Cartwright, Esquire, Surgeon, nephew to Thomas Powys, Esq, of Berwick House near Shrewsbury, who departed this life on the 10 Sept 1820. In the 53 year of his age.”  

This precisely corresponds with the above baptism.

From this site: <http://isle-of-man.com/manxnotebook/famhist/mis/peel.htm>;
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The is a marriage or two for Thomas Cartwrights:

This one at Astbury, where his mother was married, is highly tempting as is his age of 24:

First name(s) THOMAS
Last name CARTWRIGHT
Marriage date 06 Oct 1792
Marriage year 1792
Place ASTBURY
Spouse's first name(s) HANNAH
Spouse's last name ROBINSON
Bride's residence Astbury
Groom's residence Astbury
City or town Astbury
County Cheshire
Country England
Records set Cheshire Diocese of Chester bishop's transcripts marriages 1576-1906

Equally tempting is this marriage BUT he was a weaver (from the bond):

First name(s) THOMAS
Last name CARTWRIGHT
Marriage date 10 May 1792
Marriage year 1792
Place CHEADLE, CHEADLE
Spouse's first name(s) ELIZABETH
Spouse's last name DEAN
Bride's residence Cheadle
Groom's residence Cheadle
City or town Cheadle
County Cheshire
Country England
Records set Cheshire Diocese of Chester bishop's transcripts marriages 1576-1906
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This is almost certainly his apprenticeship as a surgeon, he would have been 14, giving seven years to 21:

First name(s) Thomas
Last name Cartwright
Role Apprentice
Indenture or registration year 1781
Indenture year 1781
Registration year 1782
Apprentice's first name(s) Thomas
Apprentice's last name Cartwright
Master's first name(s) Allen
Master's last name Wheeler
Master's occupation Surgeon
Master's place Shrewsbury
Master's county Shropshire
The National Archives reference (IR 1 series) 62 f 50
Society of Genealogists number 216368
Record type Records
Record set Britain, country apprentices 1710-1808
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His burial index:

First name(s) Thomas
Last name Cartwright
Burial year 1820
Burial date 14 Sep 1820
Burial place German, Isle of Man
Place German
County Isle of Man
Source Isle of Man Burials 1598-1950
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