You just touched upon one of my favorite subjects - Lady Jane.
A couple of us ladies here have been researching this woman and I can
tell you that she was definitely NOT a legitimate daughter of Sir
Richard the 1st Baronet of Sefton Molyneux and Lady Frances Gerard of
Sudbury. I know what all of
the sources say, but she's just not listed in the household records or
papers of either one of her parents or grandparents. There is a great
deal of mystery surrounding the reason why she styled herself a Lady.
Quite a few people surmise the reason that was called Lady may be
just out of respect, but I don't think so, or it would have been used
for more ladies than just her. We also have to look at the problem of
locality. How would a young girl from Liverpool meet and marry a man
from Worcester ? She had to have been relatively young when they
married because she has a scad of children after coming to Virginia.
My illustrious sister in arms, Dot Duncan, has deserted me for a few
weeks to go overseas, but we have poured over this problem for quite a
while and the only person we can come up with that fits this bill is
a young woman born out of wedlock in Lancashire. She was christened
on Sept 30, 1607 at the Church of St. Mary the Virgin. Her name was
listed as Jane Molyneux and her parents were Margrette Hope and Sir
John Molyneux. We figure she was later sent to live in Worcester with
relatives in order to avert any embarrassment to the Molyneux family
in residence at Sefton. This, of course, is only supposition on our
part at this point. Since both Dot and I are bordering on the legally
insane, you can take it for what it's worth. But, I DO still have Jane
attached to Sir Richard and Lady Frances Gerard Molyneux in my
database, just for now. We do intend to get back to Worcestershire
soon to find out what we can about both Thomas and Jane Molyneux
Farley. I won't even touch upon the controversy surrounding Thomas
and his ancestry at this point since it tends to throw people into a
Born about the year of 1600 probably the son of Roger Farley, married lady Jane Sefton, of the line of the Earl of Sefton about 1622. 
They sailed on the ship "Ann" and were living at Archer's Hope, James City County, Virginia, 16 February 1623. 
Their first child Ann, was born on the way over and is said to have been named for the ship.
Tomas Farley was a "member of the House of Burgesses for the plantations between Harrop and Archer's Hope and Martin's Hundred at the session of March 1629-30 and for Archer's Hope February 1631-32." 
At Court in James City, 21 August, 1626, Thomas Farley, gent, confessed to "being absent from church on the Sabbath day for three months. He was ordered to pay 100 pounds of tobacco into the public treasury." 
From the minutes of the Council and General Court, 1622-1629: "Thomas Farley of Archer's Hope bargained with Widow Bush for the land he was settled on." 
NOTE: No records have been found that verify that Jane was ever listed as a Molyneux. She was styled Lady Jane Sefton in all records found to date.X-7424 10:44, 1 February 2014 (EST)
Source: S-2096798778 Repository: #R-2142803482 Title: Passenger and Immigration Lists Index, 1500s-1900s Author: Gale Research Publication: Online publication - Provo, UT, USA: The Generations Network, Inc., 2006.Original data - Filby, P. William, ed.. Passenger and Immigration Lists Index, 1500s-1900s. Farmington Hills, MI, USA: Gale Research, 2006.Original data: Filby, P. William, ed.. Passe Note: APID: 1,7486::0
Source: S-2103111469 Repository: #R-2142803482 Title: Family Data Collection - Individual Records Author: Edmund West, comp. Publication: Online publication - Provo, UT, USA: Ancestry.com Operations Inc, 2000. Note: APID: 1,4725::0
↑ Reference: Jesse Kelso Farley, Jr., Twelve Generations of Farleys (Chicago: Press of Albin O. Horn Company, 143, p5.
↑ Reference: Hotten, Orginal List of Emigrants, page 230. Mrs. W. G. Stannard. Colonial Virginia, pages 43. VA Magazine of History and Biography, Vol. 34, page 405. Tyler's Historical & Genealogical Quarterly, Vol 13, page 134.
↑ Reference: Virginia Magazine of History and Biography, Vol. 19, page 132 and pp 147-8.
↑ Reference: Ibid., Vol. 24, pages 240-241. Children of Thomas and Jane (Sefton) Farley: Reference: Jesse Kelso Farley, Jr., Twelve Generations of Farleys (Chicago: Press of Albin O. Horn Company, 1934), page 25.
Please disregard the previous message from Michelle Hartley. I have ongoing research regarding Sir Richard and his daughter, Lady Jane. There is also documentation indicating that Richard is Lady Jane's father on her profile. If there are any concerns or questions please forward them to Chris Whitten. Thank you.
Additional research is needed for this profile in regards to parents. At some point, if it is proven that Molyneux is indeed her LNAB, we will change it, but until that documentation is provided, we will leave as is, Sefton is the earliest last name documented.