Yes, this lineage is found in quite a few sources, some of which follow.
Sir Wm Lovelace (2) of Bethersden and Woolwich, Kent, bp 12 Feb. 1583/4; died at the siege of Groll in Holland, 12 Aug 1627; member of VA Co., son of Sir Wm Lovelace(1) (also member of the VA Company) and Eliz. Aucher. Sir Wm. (2) md Anne Barnes, dau of Sir Wm Barne of Woolwich, Kent (again a member of the VA Co.) and Anne Sandys, dau. of the Archbishop of York, Rev. Edwin Sandys and Cecily Wilsford (my connection).
The daughter of Sir Wm (2) and Anne Barnes: Anne Lovelace, b. Woolwich, Kent c1611 and d VA c1652. She md Rev. John Gorsuch, D.D., rector of Walkern, co. Hertford, who was killed by "rebels under Colonel Fairclough of Weston" in 1647. The exact date, place and manner of the death of Rev. John Gorsuch appears to be under some debate.
"The Magna Charta Sureties, 1215", by Frederick Lewis Weis (5th Edition), pg 150-151 and add some additional from "Pedigrees of Some of the Emperor Charlemagne's Descendantd", Vol III, Compiled by J. Orton Buck, pg 164-165. It is also found in "Genealogies of Virginia Families", VMHB, Vol. I, in several different articles concerning several different surnames (Gorsuch, Lovelace, Sandys, Barnes). I'm sure there are plenty of other sources saying the same thing.