"This Mary Ann Wilson is believed to be the daughter of Thomas Wilson [etc]"
Yes, indeed! (but The Mayflower Society probably will not
What is the source of your beliefs?
Have you been talking to my cousin David?
By the way, there is additional circumstantial evidence
supporting the Baker connection
1) Arthur B Nichols was actually Arthur Baker Nichols (according to my long deceased uncle who
was adopted by Arthur B Nichols' brother-in-law
2) A grand-daughter of Herbert J Nichols is listed as Hattie Baker Nichols in her birth record.
I have amended my inquiry to reflect that my g-grandfather was named Arthur B(aker) Nichols