You do not say where William is from so is this him ?

England, Select Births and Christenings, 1538-1975
Name: William Blyth Buckhurst
Gender: Male
Baptism Date: 12 May 1854
Baptism Place: Saint Marys,Portsea,Hampshire,England
Mother: Susanna Maria Buckhurst
FHL Film Number: 919741, 919742

1861 England Census
Name: William Blythe Buckhurst
Age: 7
Estimated Birth Year: 1854
Relation: Grandson
Mother's name: Susanna Maria Buckhurst
Gender: Male
Where born: London, England
Civil Parish: Deal
Ecclesiastical parish: St Andrew
Town: Deal
County/Island: Kent
Country: England
Registration district: Eastry
Sub-registration district: Deal
ED, institution, or vessel: 7
Household schedule number: 178

Stephen Buckhurst 62 b Canterbury
Sarah Ann Buckhurst 63 b Deal
Susanna Maria Buckhurst 35 Daughter Unmarried b Deal
William Blythe Buckhurst 7 Grandson b london

Thank you I think you've cracked it! Actually I only a few hours ago I located the same birth details on line, but not the 1861 census details. For some reason the Blythe was spelt differently. The 1861 census details are extremely helpful thank you very much!!!

The record wizard28 found is the baptism this is possibly his birth a copy will verify details

Births Jun 1852
BUCKHURST William Shoreditch 1c 139

possible death for Susannah

Deaths Dec 1862
BUCKHURST Susannah Maria Chelsea 1a 160

Thank you asheppard, However the birth of William Buckhurst 1852 registered at Shoreditch is to George and Margaret Ann Buckhurst, a different family. As to the death of Susannah Maria Buckhurst in 1862, I agree this is likely William Blyth Buckhurst's mother. The mystery now is to name his father. I guess a birth certificate is required for that? Thank you so much for your interest. :)

Susannah Maria Buckhurst is on the 1851 & 1841 Census with her parents occupation listed as Milliner

Marriage for her parents

England, Select Marriages, 1538–1973 about Stephen Buckhurst
Name: Stephen Buckhurst
Gender: Male
Marriage Date: 22 Apr 1826
Marriage Place: Deal, Kent, , England
Spouse: Sarah Ann Willson
FHL Film Number: 1786327

Deaths for her parents

Deaths Dec 1871
Buckhurst Sarah Ann 73 Eastry 2a 471

Deaths Mar 1880
Buckhurst Stephen 82 Eastry 2a 636

He could have been registered under his fathers surname have you tried checking for William Blyth ? b1854, or William B ?, it might throw up some possibles.

Thank you, that is helpful. I had the marriage details of Stephen and Sarah Ann, but not their occupation. That is interesting, for according to another researcher he became Admiral Stephen Buckhurst, suggesting he was a navy man. I suppose it's possible he had a change of career?
Regarding identifying William's father, I haven't tried the method you suggest yet., will will do so. To be honest there seem to have been so many William Buckhursts around at that time it's rather confusing.....Thanks for the suggestion!

Stephen Buckhurst was a lodging house keeper in 1841, a post carrier in 1851 and a postman in 1861/71. I do not think he would have gone from an admiral these occupations.

England, Select Births and Christenings, 1538-1975
Name: Stephen Buckhurst
Gender: Male
Baptism Date: 29 Sep 1799
Baptism Place: Canterbury, Kent, England
Father: Stephen Buckhurst
Mother: Elizabeth
FHL Film Number: 1736587

Wow! Thank you so much for this, though I think some family members may be shocked! I agree it is most unlikely these occupations would have led to an admiralty! And this information you gathered from census records? The site I was using didn't list occupation.
I have amongst family documents a copy of a death notice for Stephen's wife Sarah Ann Buckhurst. It mentions her as the wife of Stephen Buckhurst, not Admiral Stephen Buckhurst, which I did think strange. But that makes sense if he was never an admiral!

Is it also possible to find the occupation of Susanna Maria Buckhurst, (his daughter, born 1826)?

Apologies to asheppard,, you have already researched Susanna's occupation, and concluded she was a Milliner. Thanks again for this

Try contacting the Parish registry office for Saint Marys, Portsea Hampshire they may have more details on the baptism of William than what is recorded on the baptism listing.

The records are held at Portsmouth Office, under Portsmouth.gov.uk if you search Portsmouth History Centre it should bring up the website

From the web site

"You can make enquiries in person at the History Centre's enquiry desk, email portsmouthhistorycentre@portsmouthcc.gov.uk phone 023 9268 8046 or write to Portsmouth History Centre, Central Library, Guildhall Square, Portsmouth, PO1 2DX."

Thank you for this suggestion. I have emailed the Portsmouth Office and await a reply.