Richard came to America from London on the Henry and Ann in 1681. He and Mary moved to Monocacy, Prince George County, Maryland and then moved South to Central North Carolina. 
Richard Harrold and Mary Beals married 22 Mar 1709 in Delaware, Pennsylvania (Concord Monthly Meeting). Hinshaw's unpublished index appears to have the marriage as 1 Apr 1710 but the original record contradicts this. The index also contains the notation "both from Nottingham."
Elizabeth 10th 3rd 1711
Mary 28th 7th 1713
John 21 10th 1714
Jonathan 20th 11th 1717
Mary 19th 9th 1718
Rachel 9th 2nd 1721
Richard birth year ranges 1720-1723. There is no primary source birth record for this son. Some believe he died young. Others believe he lived a normal life but there is little evidence of it. The one possible clue indicating he may have existed and been part of this family is the Will of Mary Ann Beals' father where four children of Rachel are listed, including Richard, and each is to receive 10 shillings when they come of age. That Will was written 1726 when Richard would have been between 3-6 years of age. It is possible that he did not survive long after this and is thus not found in later records.
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On 17 Sep 2018 at 19:11 GMT T Stanton wrote:
I am unable to find a ship named the Henry and Ann which arrived in the colonies 1681 (or any other year). Is this perhaps meant to be the Thomas & Ann which did arrive 1681 as part of Penn's fleet? No record of the Harrold's aboard but it is not certain the ships log is complete: https://www.chester.pa-roots.com/misc/individual_ships_of_penn.htm
On 6 May 2016 at 19:08 GMT Coltrane Milholen wrote:
Richard is 18 degrees from Claude Monet, 15 degrees from Gigi Tanksley and 15 degrees from Victoria of the United Kingdom of Great Britain and Ireland on our single family tree. Login to find your connection.