There was a Robert Morres who was vicar of Britford, Wilts from 1796 to 1806, then becoming rector of Cheverll Magna. He lived from 1758 to 1841.  Might this be that chap?  If so, he was son of Thomas of Hinckley, Leics; see Church of England Clergy database and Alumni Oxoniensis.  The evidence against is that when his real son Thomas went to Oxford in 1813, he was said to be son of “Robert Morres, of Isleworth, Middlesex, cler.”.
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There is a baptism for a Thomas Morres, son of Robert and Susan where Robert was vicar of Isleworth in 1796.  And in 1797 there is a baptism of Robert who was son of Thomas, cleric, and Susan of Britford and there is this marriage of Robert and Susan:

First name(s)            Robert
Last name                Morres
Birth year               -
Occupation               Clerk
Marriage year            1792
Marriage date            01 Feb 1792
Church                   St John The Baptist
Place                    New Windsor
County                   Berkshire
Country                  England
Spouse's first name(s)   Susan
Spouse's last name       Baker
Licence or banns         Licence
Record set               Berkshire Marriages Index
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There were these baptisms to children of Rev Robert and Susan Morres:

1 Feb 1793   (illegible)   Isleworth, All Saints, Middx

30 Dec 1794   Elliott       Isleworth, All Saints, Middx

1 Feb 1796   Thomas        Isleworth, All Saints, Middx

12 Mar 1797   Robert        Britford, Wilts   b.21 Feb 1798

3 Apr 1798   Susan         Britford, Wilts

19 Feb 1800   Anne          Britford, Wilts

So it really does look like he was vicar of Isleworth and moved to be vicar of Britford in, probably, late 1796.
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This led to an entry on the Clergy of the Church of England database for a Robert Morris (not Morres) who was officially made curate of isleworth in May 1794; certainly it has to be him.  I have suggested the identity of Morris and Morres to the CCED.  Robert Morres is also on the CCED database.
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Now that he has been suitably identified and was the father of Thomas, we can state his Alumni Oxonienses record which includes that his father was Thomas of Hinckley, Leics:

Morres, Robert, s. Thomas of Hinckley, co. Leicester, doctor.  Brasenose Coll., matric, 21 mar 1774, aged 16; B.A. 1777, M.A. 1780, vicar of Britford, Wilts, 1796; rector of Great Cheverell, Wilts, 1807, preb. of Salisbury 1805, until his death 18 Oct, 1841.
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The Brasenose (BNC) register has:

MORRES, Robert (Leics.). Com. Matr. doct. 21 Mar., aged 16; c. 21 Nov. 1774; B.A. 15 Oct. 1777 ; M.A. 31 May 1780; Fellow (Darbie) 20 Nov. 1781; res. Fell. 13 Nov. 1786; Bampton Lect. 1791; rem. 31 Oct. 1798.
Preb. of Salisbury 1805; died 1841.

WORKS :
Faith (Bampton Lectures), 1791.
Sermon, 1795.
Address of a Minister of the Church of
England to his parishioners, 1799. fDuty of Communion ivith the Eslablished Church, 1817.
Sup2ylemcnt to the Duty of Communion, 1818.
Reflections on the claims of the Protest- ant and Popish Dissenters, 1832.
A Brief review of pretensions of Popery, 1839.
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His baptism:

First name(s)             Robert
Last name                 Morres
Birth year                1757
Baptism year              1757
Baptism date              02 Jun 1757
Baptism place             Hinckley, St Mary's
Denomination              Anglican
County                    Leicestershire
Country                   England
Father's first name(s)    Thos
Mother's first name(s)    Anne
Event type                Parish Registers
Archive                   Record Office for Leicestershire, Leicester & Rutland
Archive reference         DE1135/7
Page                      94
Record set                Leicestershire Baptisms
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His death index:

First name(s)    ROBERT
Last name        MORRES
Gender           Male
Death quarter    4
Death year       1841
District         Reading
County           Berkshire
Volume           6
Page             153
Country          England
Record set       England & Wales Deaths 1837-2007
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His burial index:

First name(s)     Robert
Last name         Morres
Age               84
Birth year        1757
Burial year       1841
Burial date       27 Oct 1841
Place             Britford
Residence         Reding, Rerks
County            Wiltshire
Country           England
Record type       Bishop's Transcripts
Record set        Wiltshire Burials Index 1538-1990
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His will index:

Will of Reverend Robert Morres, Clerk of Reading , Berkshire
Reference: PROB 11/1954/89
Description: Will of Reverend Robert Morres, Clerk of Reading , Berkshire
Date: 17 November 1841
Held by: The National Archives, Kew
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Their marriage abstract:

First name(s)            Susan
Last name                Baker
Birth year               -
Marriage year            1792
Marriage date            01 Feb 1792
Church                   St John The Baptist
Place                    New Windsor
County                   Berkshire
Country                  England
Spouse's first name(s)   Robert
Spouse's last name       Morres
Spouse's occupation      Clerk
Licence or banns         Licence
Record set               Berkshire Marriages Index
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