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I found another John Fraser, of the Royal Bank of Scotland too, in an obituary at 1811, in Glasgow.  Obviously, there were a lot of people named John Fraser, but contemporary working at the same bank, probably they had some relationship.

http://books.google.com/books?id=hB4YAQAAIAAJ&pg=RA1-PA3&lpg=RA1-PA3&dq=%22john+fraser%22+%22bank+of+Scotland%22&source=bl&ots=j37mpynP7c&sig=INEl7grSp63-xORqdxOFJUDfkjg&hl=en&ei=1MIsTMnrB4SKlweEq8DtCQ&sa=X&oi=book_result&ct=result&resnum=1&ved=0CBEQ6AEwADgU#v=onepage&q=%22john%20fraser%22%20&f=false

In the book "Major Alpin´s ancestors and descendants" some references about John Fraser. I suppose this is the same book you mentioned.

 HELEN, born at Borlumbeg, 22 August, 1783. She died,
April, 1842, having married, 1801, John Fraser, Agent

for the Bank of Scotland, Inverness, with issue : —

1. Donald Fraser, died in infancy.

2. Patrick Fraser

3. John Fraser, died in infancy.

4. John Fraser, born June, 1818 ; M.A., King's College, Aberdeen, 1846;
licenciate of the Church. Died in Canada, 24 September, 1893,
having married, June, 1845, Charlotte Augusta Mackie (who died 28 January,
1903), with issue : —

(1) John Fraser. Married

(2) Alexander Mackie Fraser.

(3) Alpina AGNES Fraser, born April, 1846, married, in 1870, A. C. Mann,
with issue : —

i. Hugh Campbell Mann.

ii. John James Mann.
iii. Carolina Mann.
iv. Alexandra Mann.

(4) Elizabeth Helen Stuart Fraser, born 4 September, 1850.

(5) Charlotte Fraser, Sub-editor of the Star, Montreal, died 31 May,
1896.

(6) WlLHELMlNA Fraser, married

(7) Helen Fraser, born 29 June, 1863.

5. William Fraser, died in Australia.

6. Donald Fraser, died in infancy.

7. Anne Fraser, married Robert Munro, Jamaica, with issue : —

(1)

8. Margaret Fraser, died unmarried.

9. Helen Fraser, died in infancy.

10. Alpina Fraser, died unmarried.

11. HELEN Fraser, died unmarried, 6 June, 1901.

12. May Fraser, died unmarried.

13. Mary Fraser, married D. Mackenzie, with issue : —

(1) A son who died in infancy.

(2) Mary Helen Mackenzie, married George Brodie Clark, with issue :—

i. Ernest Herbert Brodie Clark.

14. Isabella Fraser, married Rev. \V. Rally, St. Thomas, Ontario (who died
without issue).

15. Anne [Nancy] Fraser, died 21 June, 1902, having married Dr.
Van Buskirk, with issue :

(1) William Van Buskirk, C.E. ; married, with issue.

(2) May Van Buskirk, married Douglas Gerrard, with issue :

i. Douglas Gerrard.
ii. Helen Gerrard.

(3) Fanny Grant Van Buskirk, died unmarried.

(4) Anne Victoria Van Buskirk.

(5) Caroline Ruth Van Buskirk.

16. JANE Fraser, married Andrew Smith, with issue :

(1) William Grant Smith, merchant, Guadalaxara, Mexico.

(2) John Alexander Smith, M.A., Fellow and Tutor of Balliol College*
Oxford.

(3) James Ross Smith, S.S.C., Edinburgh.

(4) Alexander Patrick Smith, solicitor, Hamilton.

(5) Harriet Ann Smith.

(6) Jean Eliza Smith.

http://www.archive.org/stream/majoralpinsances00ande/majoralpinsances00ande_djvu.txt