Sigh... The profile was created (not by me) to represent Mary Snow, the daughter of William Snow and Rebecca Browne.
As near as I can determine, the theory that Mary Snow might have been the "Mary" who married John Rickard (son of Giles Rickard) originated on the Snow/Browne side of the aisle.
On the Rickard side of the aisle, the main topic of interest regarding this family's marriages has been distinguishing the two contemporary John Rickards (who sometimes have been treated as one person, married to Mary Cooke) and determining which one of them married Mary Cooke. I would wager that the majority of people who trace ancestry to John Rickard believe that they are Mayflower descendants through Mary Cooke, and are unaware of Mary Snow (whom I first thought of as "the Mary who wasn't Mary Cooke" -- it was a Snow/Brown/Mayflower relative who told me she was Mary Snow).
The identification of Mary Snow as the probable wife of John Rickard is not one of those wild speculations where somebody finds a girl named Mary born within 25 miles who has no further record, then decides to make her the Mary who was the wife of their ancestor. The Rickard and Snow families were residents of the town of Plymouth when it was a close-knit small town for which there is reasonably good accounting of all of the families (missing records notwithstanding); William Snow's daughter Mary was still living and apparently married when William made his will in 1699 (the will did not make provision for her as an unmarried daughter); John Rickard was married to a girl named Mary whose last name is not recorded; two sisters of Mary Snow are known to have married brothers of John Rickard; and I've noted that a couple of the children of John Rickard and wife Mary had names found in earlier generations of the Snow family but not in the Rickard family. With all that circumstantial evidence (and approximately a century of smart genealogists suggesting the connection), I think it's entirely reasonable to tentatively identify Mary Snow as having married John Rickard. (If they didn't marry each other, then we would need to conjure up both an unrecorded woman named Mary in Plymouth for John Rickard to marry and an unrecorded man for Mary Snow to have married.) If this was a garden-variety ancestor (not a Mayflower descendant), I don't think we'd hesitate to endorse the approach of connecting her to the husband but describing the connection as tentative/uncertain.
Since the profile was created to represent Mary Snow, I happen to think it should be allowed to remain as Mary Snow's profile, with the inclusion of information about her tentatively identified marriage. That means it should start out with her birth and parents. The subsequent text regarding the uncertainty about her marriage occupies a large proportion of her biography, so it doesn't need to be duplicated in the first paragraph, too. Furthermore, given the longstanding difficulty distinguishing the two Marys who married the two John Rickards, I can imagine that additional confusion could be created by starting Mary Snow's biography with a statement like "The name of the wife of John Rickard was Mary, though her identity beyond this is uncertain at best" (what Joe added as the first sentence).