Found this while trancribing St. Nicholas parish registers, Harwich, Essex:
William Oliff was married unto Jone Lufkin the 21 day of January (1578/79). Also found a John Lufkin and a Brian Lufkin.
Both William and Jone made wills:
William Oliff, alias Lambert, mercer of Harwich, 25 Nov 1603.
Joan Oliff, alias Lambert, Harwich, widow, 1616.