His birth registration cannot be found, but then there are no registrations on FreeBMD for Barnet for the first two quarters of 1851.

Nor can any census be found on FindMyPast from 1891 to 1911, almost certainly due to FMP technical problems.
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From the Repton School Register of 1905:

Trotter, Stuart, May 1867 - July 1869, W.J. s. of Capt J Trotter, 2nd Life Guards, Dyrham Park, Barnet, b. June 27, 1851, J.P. Herts. Land Agent. Hill House, Wormley, Herts.

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This might well be his death:

Surname First name(s) Age District Vol Page
Deaths Dec 1922   (>99%)
Trotter Stuart 71 Reigate 2a 261

Yes, it is his death as probabte was granted to Richard Durant Trotter, his nephew by his younger brother John.
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1901 census:

First name(s) Last name Relationship Marital status  Gender  Age  Birth year Occupation Birth place

Stuart Trotter Head Married Male 49 1852 Magistrate Land Agent  South Mimms, Middlesex
Mary E Trotter Wife Married Female 38 1863 - Manchester, Lancashire
Winifred Trotter Daughter Single Female 12 1889 -  Wormley, Hertfordshire
Hugh Trotter Son Single Male 10 1891 - Wormley, Hertfordshire
Esme M Trotter Daughter Single Female 7 1894 -  Wormley, Hertfordshire
Beatrice P Warlow Visitor Single Female 28 1873  -  Hertfordshire
Evelyn M Blockey Governess Single Female 23 1878  Governess Domestic Dulwich
Frances Brown Servant Single Female 27 1874 Cook Domestic  Essex
Nellie Coe Servant Single Female 25 1876 Parlourmaid Domestic  Bishops Stortford, Hertfordshire
Alice K Pavelin Servant Single Female 23 1878 Housemaid Domestic  Dunmow, Essex
Edith B Brown Servant Single Female 20 1881 Nursemaid Domestic  Essex
Rose Burton Servant Single Female 18 1883 Kitchenmaid Domestic  Hoddesdon, Hertfordshire

Census details
First name(s) Stuart
Last name Trotter
Relationship Head
Marital status Married
Gender Male
Age 49
Birth year 1852
Occupation Magistrate Land Agent
Birth town South Mimms
Birth town as transcribed SOUTH MIMMS
Birth county Middlesex
Birth county as transcribed MIDDLESEX
Birth place England
Birth place other as transcribed -
Other household member first name(s) STUART, MARY, WINIFRED, HUGH, ESME, BEATRICE, EVELYN, FRANCES, NELLIE, ALICE, EDITH, ROSE
Other household member last name TROTTER, WARLOW, BLOCKEY, BROWN, COE, PAVELIN, BURTON
Street Wormley Bury
Town Wormley
Parish Wormley
City -
Country England
County Hertfordshire
Municipal ward -
Registration district Ware
Archive reference RG13
Piece number 1279
Folio 17
Page 25
Record set 1901 England, Wales & Scotland Census
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1911 census:

First name(s) Last name Relationship Marital status  Sex  Occupation Age Birth year Birth place

Stuart Trotter Head Married Male Land Agent 59 1852  South Mimms Middx
Mary Ellen Trotter Wife Married Female - 48 1863  Manchester Lancs
Frowyke Trotter Son Single Male Civil Engineer 24  1887  Broxbourne Herts
Winifred Trotter Daughter Single Female - 22 1889  Broxbourne Herts
Hugh Trotter Son Single Male Undergraduate Oxford 20  1891  Broxbourne Herts
Esme Mary Trotter Daughter Single Female - 17  1894  Broxbourne Herts
Muriel Jaqueline Trotter Daughter Single Female -  6  1905  Broxbourne Herts
Evelyn Mary Blockey Governess Single Female Governess  33  1878  Dulwich Essex
Constance Strachan Masseuse Single Female Masseuse  31  1880  Tollers Surrey
Lily Teesdale Servant Single Female Cook Domestic  32  1879  Edinburgh
Clara Resbury Servant Single Female Nurse 45  1866  Witham Essex
Edith Mary Stokes Servant Single Female Housemaid Domestic  23  1888 Dunmow Essex
Ethel Clara Godfrey Servant Single Female Parlourmaid Domestic  23  1888 Wormley Herts
Florence Mary Dyer Servant Single Female Underhousemaid Domestic  18 1893 London Kings Cross
Alice Mary Ford Servant Single Female Scullerymaid Domestic  18  1893 London Bow

Census details
First name(s) Stuart
Last name Trotter
Relationship Head
Marital status Married
Sex Male
Occupation Land Agent
Age 59
Birth year 1852
Birth place South Mimms Middx
Address Broomfield Lodge
Parish Broomfield
County Essex
Country England
Archive reference RG14
Registration district Chelmsford
Registration district number 194
Enumeration district 11
District number -
Sub district Great Waltham
Sub district number 3
Census reference RG14PN10076 RG78PN530 RD194 SD3 ED11 SN78
Piece number 10076
Folio -
Page -
Other household member first name(s) ALICE, CLARA, CONSTANCE, EDITH, ESME, ETHEL, EVELYN, FLORENCE, FROWYKE, HUGH, LILY, MARY, MURIEL, STUART, WINIFRED
Other household member last name FORD, RESBURY, STRACHAN, STOKES, TROTTER, GODFREY, BLOCKEY, DYER, TEESDALE
Record set 1911 Census for England & Wales
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Will probate:

Trotter Stuart of the Manor House, Burstow, Horley, Surrey died 13 November 1922 Probate London 10 January to Richard Durant Trotter esquire.  Effects £24677 12s 3d.
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Their marriage registration:

First name(s) STUART
Last name TROTTER
Marriage quarter 4
Marriage year 1 885
Registration month -
MarriageFinder™ STUART TROTTER married MARY ELLEN GLADSTONE
District UXBRIDGE
District number -
County Middlesex
Country England
Volume 3A
Page 55
Record set England & Wales marriages 1837-2008
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