As to the parents:
James Carlton Starbuck, Starbucks All (1984), page 117, identifies her parents as "Robert Reynonlds and Esther Ruth (?) (Roth) Reynonds" but provides no sources.
The sources cited on the profile provide no support for the current links, so we really have no evidence at all that William and Esther Ruth were the parents.
As to the date and place of death:
Alexander Starbuck, The History of Nantucket (1924), page 802, says "[t]here seems to be no record regarding [Edward Starbuck's wife, Katharine Reynolds], but as the early records of births, marriages and deaths kept by William Worth seem to be quite complete and her name does not appear in them the presumption is that she died before the family removed to Nantucket." Also, "[t]he probabilities are that she died in Dover."
New England Historical and Genealogical Register, vol. 8, p. 68, says that Edward Starbuck's wife "Katharine went with him" when he settled on Nantucket, but provides no source.
Nathaniel Philbrick, Away Off Shore (1994, 2011), Chapter 3, says that "there is no evidence, however, that [Edward Starbuck's] wife Katherine ever emigrated to Nantucket."
Again, the sources cited on the profile say nothing on this question. The 2009 founders monument at Nantucket (pictured on the profile) gives her date of death as 1658. While the source for that is unknown, I would be inclined to go with that on the assumption that they did decent research before erecting such a monument and on the reasoning suggested above that she never made it to Nantucket, so she probably died in Dover before her husband left there to settle on Nantucket.
