No new info of which I'm aware -- if this is repetitous, I apologize.
Researching this marriage is a slippery slope, with various mis-informations copied and recopied, sometimes in reliable seeming sources -- Godspeed!
As I've been noting for about the last ten years, the latest work is Anderson's 1995 'The Great Migration Begins: Immigrants to New England 1620-1633' citing Herbert F Smith's 1934 work (The American Genealogist vol 11), followed up by Jacobus (TAG vol 20 & 21) as being the definitive study of John Strickland and family.Jacobus states flatly that, "There is not the slightest reason to assume any connection between Thwaite and John Strickland except that they were born with the same surname.", recanting his editing of the Miner Family book (1926?).There is no primary authority yet found for stating otherwise, and the same can be said for Elizabeth, first wife of John Seaman, sometimes reported as the daughter of John Strickland of Charleston, and any marriage for this John, including Jane Fenwick; however, there is also no "proof" that such is not so. Smith was a little more charitable in his conclusion that Thwaite was "possibly" a son of John, but cited significant evidence to conclude otherwise. Please see these two works directly for a thorough discussion of this family. There is certainly latitude for other Stricklands, besides this particular "John", the Charlestown settler, to have emigrated with the Puritans.
'John Strickland of Long Island and his Sons-in-Law', by Herbert F Smith, Esq., of Washington, D. C.; The American Genealogist and New Haven Genealogical Magazine; New Haven, D L Jacobus, 1932-1937; vol 11, Oct 1934 pg 81-87, Jan 1935 pg 145-153, Apr 1935 pg 197-208; LDS film # 1425624, item 3
'Strickland Notes', compiled by Donald Lines Jacobus, M. A., of New Haven, Conn.; The American Genealogist; New Haven, D L Jacobus, 1937- ; vol 20, Apr 1944 pg 207-215,LDS film # 1425625 item 2; cont'd vol 21, July 1944 pg 85-92; LDS film # 1320924, item 5
As pertains to the American immigrant, other conflicting and undocumented sources for a John Strickland family can be found in LDS IGI files 1994 Addendum for British Isles, 1) John William Strickland and family in films # 1903560 & 1903531, 2) John Walter Strickland and family in films # 1903795,1903836, 1903900, 3) John Strickland and family in film # 1903540, submitter information in 1997 for all films -- "No additional information available"
Carl Strickland wrote a nice piece a couple years ago on the Strickland-L list about the 'English Stricklands' which may also be of interest --
In addition to John, Thwaite, and Elizabeth, there are other early New England Stricklands to be considered -- the Peter Strickland born about 1645/6 that was in trouble as a young man in Mass.(Tanscripts, 14 May 1924); the Peter Strickland, perhaps the same man, that settled in New London in 1670 (Transcripts, 5 Dec 1923); Edmund Strickland, perhaps the father of Peter, of Fairfield in 1639 and Newtown, LI in 1658 (TAG, v 11, p 198); Samuel Strickland of Hempstead, 1647; etc.