The family you refer to here I am certain descend from the Armorial Family of Reve of Bury St. Edmunds. A branch of this family moved to London, two of the descendants (among many others) being Richard Reeve and Pierce Reeve married to Susannah.
Pierce and Susanah's known children were born in London: Roger 1660, Elizabeth, Susannah 1663 married to Henley,Pierce 1668 and Anne 1673.
The above Richard died without issue in 1702 left a will mentioning his great nephews Henry and Peter Reeve. Henry and Peter's father and mother are not mentioned and most probably were deceased by 1702.