Your info appears to be at odds from the known recorded family history in UK, Sir Cuthbert only had one son Sir Chrisopher boorn 1590 no Christophers born 1699 that is a matter of record, I have a copy of the Visitations 1530,1572 and 1623 for the Buckles family it only show son Christopher no other chldren at that stage and Sir Christophers then 2 children Judith and Frances.Sir Cuthbert did not marry until he came to London and if there was a 2nd son its doubtful that he would have been born in Yorkshire thats up north,

This is direct link to their family history papers lodged by the family with the Natinal Archives which gives the history
but they are actally kept in Sussex and some kept in Surrey there is still no mention of a Robert in the papers and there are no Roberts in subsequent family tree other than those that married into it.
http://www.nationalarchives.gov.uk/a2a/records.aspx?cat=182-...

Can you tell me where the proof of a second son Robert exists I know there are stories cmeiong from the US but in the 4 years I have been researching the family in UK I have seen or found no proof they are connected. There were lot of Buckles in Yorkshire its quite common surname there probably came from buckle makers when they were first give surnames in the Norman times, not all the Buckles are from the same family.There are quite few Roberts around in the farming communities.

Sir Cuthbert did not marry until he lived in London, received his knighhood when in London, he was previouly a wine merchant, and he became a Sheriff in 1582 and an Alderman of London got his knighthood and became the Lord Mayor It appears that Christopher was born in London.The title died our with the 4th Sir Christopher in 1712, not all titles are for life,

It is doubtful whether a 2nd son if there was one would be born in Yorkshire. Sir Cuthebert had two brothers Christopher and James but have no other info on them, their fathers name was Christopher which makes me suspect the brother Christopher was the eldest as it was the custom to name first child after father and died leaving Cuthbert as the heir, but I have found no proof

Sir Cuthberts only son(1590-1680) Christopher bought property in Surrey in early 1600's Banstead, Surrey is in the south of England Banstead was up the road from where we lived and not far from London, he had three sons and 7 daughters, his eldest son , Cuthberts grandson was Christopher was 1612-1729
, the next Christopher was 1684-1759, he had 5 sons eldest was Christopher was 1711, youngest was Matthew
who became Sir Matthew in his own right, the papers then mainly deal with Sir Matthews carreer as a naval officer of some distinction and that branch the direct I believe still lives in Sussex
I have in the past been in direct contact with a member of the family since I have Buckle's of East Meon, where Sir Christopher(1629) married but not found a direct connection

The English family or that branch at least never changed their name to Buckles to my knowledge.

I know there are stories of Robert Buckle but have yet to see proof of any connection I have been researching the Buckle in England for about 4 years, there were a lot of Buckles on Yorkshire and found a few Roberts who were farmers
but nothing to connect them with Sir Cuthberts family it is always possible they are connected further back than Sir Cutbert
Irene