G. O'Loffe, 1656, to Virginia.Early Immigrants to Virginia 1623-1666 collected by George Cabel Greer, Clerk, Virginia State Land Office listed in Irish Immigrants in Virginia, page 158.
Joyce Olliffe, New Jersey, 1681.Immigrants to America Appearing in English Records by Frank Smith, page 72.
Anne Oliffe, Philadelphia, 1682.Passengers and Ships Prior to 1684 edited by Walter Lee Sheppard, page 202.
William Oliff, age 25, New York, 1812.British Aliens in the United States during the War of 1812 compiled by Kenneth Scott, page 189.
Joseph Olliff, age 43, Norfolk, VA, 1819.1784-1884: 100 Years. Naturalizations and Declarations of Intention, Norfolk Borough/City, Norfolk County (now Chesapeake), Princess Anne County (now Virginia Beach) Portsmouth, Eastern District Court, Virginia by Elizabeth B. Wingo and W. Bruce Wingo, page 57.
Amos Oliff (1874); Cornelius Thomas Oliff (1876); Lewis Oliff (1874), Michigan.Naturalization Records for Oakland County, Michigan, 1827-1906 by Ruth S. Kennedy, page 82.
Check to see if Oliff did not inadvertently get spelled as Oliv or Olive.Olliff immigrations into pre-1740 Virginia have not been fully discovered and cataloged.If you find more information, please place it here for other researchers to see.
I do not trace through Oliffs...so I cannot help any further.