Yes. The sources used to say Margery's name was Pierce and her father was John and mother was Elizabeth Maude do not actually show any documentation. Torrey's "New England Marriages Before 1700" does offer that her name could have been Prisse or Pierce, but he puts a question mark after each name since he did not know if it was correct. It is possible her name was Pierce, but there is no solid evidence.
Also, the sources provided for the names of her parents don't show any documentation. My speculation is if we could see what the information actually is in the sources cited on Wikitree we might see it was cobbled together from the following: 1. A Maude Jenkins married a John Pierce in 1591 Heddington, England. 2. A Elizabeth Pierce was baptized in Horton, Dorset, England in 1573. Perhaps this is how the name Elizabeth was added to Maude Jenkins. 3. According to Findagrave, there was a John Pierce who died in 1643 in Dorset. There is no picture of a tombstone, so I don't know how accurate that entry is. 4. There was a Margery, daughter of Thomas Pierce baptized in Dorset in 1604, but she would have only been 12 years old when her first child was born, so it doesn't seem that she would be Margery Eames. Nothing connects these four events to Margery Eames.
So, it could be that someone has taken these separate pieces of documentation, and decided to link them together to come up with parents for Margery.
Until we can actually see the information contained in the cited sources it is not known if the above speculation has any merit. Can the person who gave the sources provide the documentation contained within the sources?