per William Frederick Llewelyn Buckingham - Llew for short!- email of 25 mar 2008:
My name is Llewelyn Buckingham and I am one of the great great grandchildren of James Buckingham born in Bristol on 16th January 1813 and of his wife Ann born at Barmouth , Merionethshire, Wales on 18th January 1816.My late grandfather, Frederick Llewelyn Buckingham, my late father Frederick Glyn Buckingham and I were/are descendants of Frederick Buckingham the youngest child of James and Ann.
  Whilst poring over the entries in  James and Ann's family Bible over the Easter period with one of my cousins I realised that there was one branch of the family about which we knew little about- namely Henry Buckingham, one of the other sons of James and Ann. After a few minutes research on the internet we stumbled across the Oakey-Rowe family page .To our delight we discovered that the Buckingham descenants in the U.S.not only appear to be numerous,but even after the passage of a few generations the same or similar names seem to reappear. My father Glyn, for instance, had sisters named Gwyneth and Dilys!

FreeBMD Births Jun 1919 
Buckingham Gwyneth mother Jones dist Festiniog vol 11b pg 548
app#10293741-40; cert#WBXZ 564322
Registration District FESTINIOG
1919 BIRTH in the Sub-District of Tremadoc in the County of Carnarvon
no 311
12 apr 1919; 20 East Ave, Portmadoc UD
Gwyneth, girl
father: Frederick Llewelyn Bucklingham, relieving officer
mother Laura Mary Buckingham, formerly Jones
informant LM Buckingham, mother; 20 East Ave POrtmadoc
registered 17 may 1919

could this be her?
POSS GRO Death BUCKINGHAM, GWYNETH age 0
GRO Reference: 1919 J Quarter in FESTINIOG Volume 11B Page 478

NO! NO! FreeBMD Marriages Jun 1945 (>99%)
BUCKINGHAM Gwyneth Jones Holywell 11b 355
Jones Lloyd D Buckingham Holywell 11b 355
The district Holywell is in the county of Flintshire
App# 10293741-41; cert#WMXZ 425178
1945 Marr solemnized at Christ Church in the Parish of Mostyr in the County of Flint
no 27
12 june 1945
Lloyd Douglas Jones, 27yrs, bachelor; driver RASC; resides 12 Trevor House, Mostyw;
father: Thomas Robert Jones DECEASED, steel works
Gwyneth Buckingham, 21yrs, spinster; resides 3 Garden Row, Mostyw
father Ernest Lemon Buckingham, platelayer
Marr in the Parish Curch acc to the R&C of the Church in Wales by license
witnesses Thomas Shu? Davies; Olive Buckingham