As two of the three records apply to Conibear-80 and one to Coniber-9, I'd go with the majority. Remove the Fraunces Conibear, 1633. baptism and copy it to Coniber-9. Then merge Conibear-80 into Conibear-35.
I see that Conibear-35 already has a son John Conibear-34, but there are no sources for the relationship. Do you know which William this John belongs to? If there is no evidence, it may be better to detach him for now with a note about possible fathers on his profile.