*per Gail’s email her grandfather is Henry, but his name was Harry Lloyd Buckingham (1891-1962).  He was the next to youngest child of the bunch.  There was a Henry, but he died in infancy in 1886.

BC HenryBuckingham1885.pdf
GRO Birth BUCKINGHAM, HENRY ROBERTS
GRO Reference: 1885 M Quarter in BANGOR Volume 11B Page 487
COL697880_2019-21
ordered jul 2019 bef Buckingham Reunio in NY
Superintendent Registrar’s District Bangor
Registrar’s Sub-District Llanllechid
1885 BIRTHS in the Sub-District of LLanllechid in the County of Carnarvon
no 144
10 feb 1885; Susain Place Bethesda, Llanllechid USD
Henry, boy
father Henry Buckingham; OCC Quarry Labourer
mother Elizabeth Buckingham, formerly Roberts
informant Henry Buckingham father, Siloam Place, Bethesda, Llanllechid
registered 24 mar 1885

IMM1885 ElizBuckinghamFam; Pennsylvania, Passenger and Crew Lists, 1800-1962; T840 - Philadelphia, 1883-1945 006; image 167 of 443 @ancestry.com
Source Citation: The National Archives at Washington, D.C.; Washington, D.C.; Series Title: Passenger Lists of Vessels Arriving at Philadelphia, Pennsylvania; NAI Number: 4492386; Record Group Title: Records of the Immigration and Naturalization Service, 1787-2004; Record Group Number: 85; Series: T840; Roll: 6
transcription error has who family b in Sweden
Departure Place: Liverpool, England
Arrival Date: 31 Aug 1885; Arrival Place: Philadelphia, Pennsylvania, USA
Ship: British Crown
Elizabeth Buckingham 33 b ENG never been to US before, NOT tourists
Ann 9 b ENG
James 6 b ENG
Ellis 4 b ENG
Maggie 4 b ENG
John 2 b ENG
Henry 3 months b ENG