Hobart's Journal (which records various vital records in 17th century Hingham, MA) contains an entry on July 19, 1646 that indicates that "Israell Hodsen & Elezebeth Samuell Hannah Israell Peck" were baptized on that day. See NEHGR 121:19. The genealogy of Joseph Peck in the History of Hingham (and the WT profile for Joseph Peck) read this to relate to the baptisms of Samuel, Hannah and Israel Peck and read the entry as not saying that Elezebeth part of the same family as Samuel, Hannah and Israel.
Packard genealogist, however, say that Peck was a recordation or transcription error and that the entry refers to the baptism of Samuel Packer/Packard's children by those names.
I think Packard genealogist are right for the following reasons:
1 - The more natural reading of the entry is that Elizabeth was also part of the "Pecks" who were getting baptized. Joseph Peck did not have a daughter named Elizabeth, while Samuel Packer/Packard did.
2 - Joseph Peck had already had children named Samuel and Israel baptized in Hingham in Feb 1638/9 (NEHGR 121:11) and March 1633/4 (NEHGR 121:16), respectively. And there is no record of him having a daughter named Hannah except for the baptism. So reading the record literally as Joseph Peck's children would require 2 of his sons to have died young, his having 2 more sons who he gave the same name, and having a daughter named Hannah for whom there is no further record. No such gymnastics are needed if the entry is for the Packer/Packard children.
3 - The clincher I think is that Israel Peck's 1718 will states that he was in his 76th year when he made the will, which would mean that he was born about 1633. If accurate, this means he MUST have been the Israel Peck who was baptized in March 1633/4 and thus the 1646 "Peck" baptism must have been a typo.
The upshot of this for Peck genealogists is: (1) Joseph Peck only had one Samuel and one Israel and they were born before Feb 1638/9 and March 1633/4, respectively, (2) there is no evidence that he had a daughter named Hannah, and (3) Joseph Peck has 8 children, not 11. For Packard genealogists, the upshot is that they can more firmly rely on that Hingham baptism as evidence for establishing the birth dates of his children Elizabeth, Samuel, Israel and Hannah.