Dear Ms. Williams,
Thank you for posting your request on History Hub!
We searched the National Archives Catalog but were unable to locate any records pertaining to the emigration of John B. Grayson or John Grasson to the British colony of Virginia in 1697 using the information provided.
For information about his emigration from England, we suggest you contact The National Archives of the United Kingdom, Kew, Richmond, Surrey, TW9 4DU, United Kingdom for any information about a 17th ship departure and/or emigration lists to Virginia. The website is https://www.nationalarchives.gov.uk/.
We also suggest that you review the State of Virginia’s Library of Virginia website for information about its holdings and special collections about Colonial Virginia.
We hope this is helpful. Best of luck with your family research!