1) "Born 3 Oct 1627 in Yorkshire, England"
..... Maybe nitpicking, but he was baptized on this date. There's no evidence of his exact date of birth. Other evidence suggests 1627 for certain, but it could have been moments, days, weeks or months prior to being baptized. Also, his birthplace was more specifically "Kingston-on-Hull, East Yorkshire, County York, England"
2) "Husband of Jane (Chudleigh) Crispin — married [date unknown] (to 8 Apr 1645) in Diocese of Cork and Ross, Ireland"
..... By all evidence, he married Jane in 1665, not 1645. Also, another nitpick: the diocese would be a source, not a location and technically I believe it was "Diocese of Cork, Cloyne and Ross" from 1660-1683. Location would likely be Cork as it was the closest to Kinsale by far, but I don't know specifics as the current Cathedral of St Mary and St Anne wasn't built until 1808.
3) "Father of William Crispin IV, Silas Bradshaw Crispin Sr., Thomas (Crispin) Buford and Rebecca (Crispin) Blackfan"
..... While wife/mother is still up for debate, the children seem corroborated by all sources: William, Silas, Rebecca, Ralph and Rachel by his first wife/wives, and James, Joseph, Benjamin, Jane, Eleanore, Elizabeth and Amy by his 2nd/3rd wife Jane Chudleigh. Whether the first five children are from Anne Jasper or Rebecca Bradshaw or even both is still unknown as any evidence of the children is after the purported marriages of both Anne and Rebecca and before Jane. I will offer however that the first mention of any of William III's kids is William IV's baptism, exactly 9 months after his marriage to Rebecca.
4) "Died about 1681 in Aboard the ship Friendship anchored outside Barbados, West Indies"
..... All evidence points to his death aboard the "Amity" in 1682 while off the coast or Barbados, West Indies.
5) "...he is spoken of as Master of the Adventure"
..... This is his father, William II. Crispin-43 was only 7 or 8 at the time.
6) "there is some question as to whether all three Commissioners were aboard John and Sarah "
..... William was aboard the Amity which sailed sometimes after the others, was blown off course to Barbados where he died. His son Silas was aboard the "John and Sarah" and was not with him upon his death. This is evidenced by reports of several documents showing Silas's name and signature on 3 jury lists, a witness list and as a witness to a land deed, all in the new world at the time of William's death.
I wish I could pin down more but I can't at this time. Looking at both of the uploaded documents on Crispin-43 's page - I have my suspicions as to their accuracy as they're both obviously modern documents, probably from the 1950s and they're the ONLY documents besides here-say genealogy books which all mention Anne OR Rebecca as authoritatively certain. The marriage register for Rebecca however looks quite authentic.
In my humble opinion, Rebecca and Jane were most certainly real and were his wives. Anne, may have been a wife as well, but I can't be sure. She may have also been an assumption proliferated by here-say based on a confused telling of the relation between William III marrying Sir Admiral William Penn's wife Margaret Jasper's sister Anne (did she even have a sister named Anne?) versus marrying Sir Admiral William Penn's sister Rachel Penn's daughter Rebecca ... and she also has another daughter named Ann ... and Penn had a sister named Ann as well) ... lol, Wow. Still digging for some kind of actual document.