His only appearance on British records is in the 1851 when he was a Naval Cadet.

There are too Many George E Martin deaths to identify his.

In 1872 he was named as executor and Banker for his mother’s estate.

In 1882 he was named as Administrator and Bank Manager for his b rother Charles Walker’s estate.

In both admons he was given the address of Westbourne Grove, Bayswater, Mx and said to be George Edward Martin.

If his brother’s estate was resworn in 1892, presumably he did this swearing and thus was still alive.

This led to this death index at Poole, not a million miles away from Christchurch:

Surname   First name(s)   Age   District   Vol  Page
Deaths Sep 1908   (>99%)
MARTIN George Edward 75 Poole 5a 136

This was confirmed to be him by his daughter being given administration for Probate (See Will Notes)
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In the 1881 census he was married and with one daughter in Westbourne Grove, Paddington:

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

George E Martin Head Married Male 49 1832  Bank Manager  Bombay
Mary A Martin Wife Married Female 49 1832  -  H Wycombe Buckinghamshire
Anna R Martin Daughter Single Female 19 1862  -  Colchester, Essex
Louisa Martin Niece Single Female 18 1863  -  Winchfield, Hampshire
Gertrude Pepsin Servant Single Female 17 1864  D  Buckinghamshire
James Spratting Messenger Married Male 47  1834  Bank  Messenger Kent

I wonder who Louisa the niece was?  The only candidate currently is Eve Louisa, daughter of John James martin.  But here she gives her birth as Winchfield, Hants and Eva’s birth is clearly Sherborne, Dorset.  Dunno about this one!
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The above 1881 census is definitely him because of the Westbourne Grove address and the India birth.  It shows his wife to be Mary A who was born in 1832 in High Wycombe, Bucks.  This leads to a sole marriage:

Surname   First name(s)      District   Vol  Page
Marriages Jun 1856   (>99%)
BIRNEY John Nathaniel Pancras 1b 142
HILLIER Frances Ann    Pancras 1b 142
MARTIN George Edward    Pancras 1b 142
PEPIN Mary Ann    Pancras 1b 142

Why did they marry at St Pancras and not a bit nearer her birth county of Bucks?

In view of the daughter, who may have descendants, it must be worth getting this marriage certificate.
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The above led to finding Mary A Martin in the 1861 census.  He was there as well but unidentifiable as his birthplace apparently contained nothing but in fact was, on the actual enumerator’s sheet, “Broach, Bombay Presidency B S” where B S stood for British Subject.  I think this has at last revealed the correct birth place rather than the somewhat illegible stuff in the 1851 census:

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

George E Martin Head Married Male 27 1834  Bankers Clerk  -
Mary A Martin Wife Married Female 27 1834  -  High Wycombe, Buckinghamshire
Elizabeth Hempson Servant Unmarried Female 19  1842  House Servant Ramsey, Essex

Census details
First name(s) Mary A
Last name Martin
Relationship Wife
Marital status Married
Gender Female
Age 27
Birth year 1834
Occupation -
Birth town High Wycombe
Birth town as transcribed HIGH WYCOMBE
Birth county Buckinghamshire
Birth county as transcribed BUCKINGHAMSHIRE
Birth place (other) England
Birth place other as transcribed -
Street Maldon Road
Parish Holy Trinity
City or borough Colchester
County Essex
Country England
Municipal ward -
Parliamentary borough Colchester
Registration district Colchester
Enumeration district 13
Archive reference RG09
Piece number 1098
Folio number 102
Page number 17
Family member last name MARTIN, HEMPSON
Family member first name(s) GEORGE, ELIZABETH, MARY
Record set 1861 England, Wales & Scotland Census
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In 1991 they were in Ealing, he was born in Bombay, only:

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

George E Martin Head Married Male 59 1832  Bank Manager  -
Mary Ann Martin Wife Married Female 59 1832  -  High Wycombe, Buckinghamshire
Minie Rosa Martin Daughter Single Female 29  1862  -  Farnborough, Kent
Sarah Chalklin Servant Single Female 53 1838  Cook Domestic  Harefield, Middlesex
Annie A Howard Servant Single Female 24 1867  Palour Maid Domestic Harefield, Middlesex
Ada E Howard Servant Single Female 19 1872  Housemaid Domestic  Newcastle, Northumberland
Edward A Faber Visitor - Male 8 1883  -  Colchester,  Essex

Census details
First name(s) Mary Ann
Last name Martin
Relationship Wife
Marital status Married
Gender Female
Age 59
Birth year 1832
Occupation -
Birth town High Wycombe
Birth town as transcribed HIGH WYCOMBE
Birth county Buckinghamshire
Birth county as transcribed BUCKINGHAMSHIRE
Birth place England
Street Creffield Road
Town Ealing
Parish Twyford Abbey Ealing
City -
County Middlesex
Registration district Brentford
Archive reference RG12
Piece number 1028
Folio 142
Page 27
Record set 1891 England, Wales & Scotland Census
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His probate on 19 September 1908:

MARTIN George Edward of York House Poole Dorsetshire died 21 August 1908  Probate London 19 September to Annie Rosa Angel (wife of Falkland Angel).
Effects £160 6s 10d.
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Their marriage index:

Surname   First name(s)      District   Vol  Page
Marriages Jun 1856   (>99%)
MARTIN George Edward    Pancras 1b 142
PEPIN Mary Ann    Pancras 1b 142
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And from Family Search:

Name George Edward Martin
Spouse's Name Mary Ann Pepin
Event Date 14 Jun 1856
Event Place   Old Church,Saint Pancras,London,England