Several in this family have sparse information, which is not unusual. One researcher has pulled together the available snippets of data and come up with a very compelling theory. I haven't begun to proceed to place the proposed parentage for Jane Thorley because at the moment, the putative brother-in-law of Jane Thorley is not actually connected to the his wife - though named and well-described on an England Project profile.(?)
Please see also the kinfolk Mary Elizabeth (Thorley) Broughton (1620 - 1662) and her named, but unlinked husband Thomas Keene Jr. (1593 - abt. 1653).
So the theoretical relationship that also remains incomplete is that Jane Thorley-Bashaw is the sister of Mary Elizabeth Thorley-Keene/Broughton/Raynor. However, the author of the following piece also indicates that the father of Mary Elizabeth and Jane is Thomas Thorley who died in 1622. In my opinion, it is well-researched and very compelling: Thomas Keene and Mary Thorley of Northumberland 1650 (Cynthia Rodriguez on Genealogy Forum, 2010).
Please note that I have already abstracted some of the data from Cynthia's piece, as it helped to flesh out other details in this family cluster (especially regarding confirming the progeny, etc.). You will see this downstream, but if you have any questions or trouble locating what I am trying to convey, please clap back.
Thanks to all the fellow G2Gers as this work is not easy, on good days because we work with so many variables and often have to coordinate or at least consider the impact on others' work, and on bad days, it can be a real bear of a headache or <insert your definition of the worst>. I tell myself, sometimes more than once a day: just step away from the computer, because most of these folks aren't going anywhere, and for the most part, data remains stable.
Fann / Alan