Check out the name of the book below.
I found the book in my local library.

The book gives the names of the passengers, name of ship, and where they were transported from in England, month and year of arrival, and name of the Captain of the Justitia for the ancestor I was researching, William Westbrook.
The date at the top of the page is 1718 - 1776.

William Westbrook was transported from London to Virginia by the Justitia, Capt. Neil Gillis, in January 1772. (PRO: T1/483/47). On the same ship were men from Essex, Hertfordshire, Kent and London.

The Kings Passengers to Maryland and Virginia. Westminister, MD: by Peter Wilson Coldham.
Family Line Publications, 1997. 450p.