1. Your results may vary, but in my own work, I did not identify historical records, or notations about same, that confirmed some of the details in the original post. Hoping only to be helpful, my notes follow.
a. “Robert ... White … of Essex.” Assuming this is the man in WikiTree profile White-225, he was the father of four early New England immigrants.[1] Historical records associated with this Robert White were located at or reference the locations Messing and Shalford. His wife was Bridget Allgar, daughter of William; she was baptized 1562 at Shalford.[2] Robert White’s lengthy will [3] included a bequest to the “preacher of God’s word at Withersfield in Essex” (aka Wethersfield [4]).
I did not find historical records or references calling out a middle name or initial for White-225, nor a date “1558.” Likewise, I did not find any association with the place “Bulmer” and/or a man, Henry White.
b. Various records and/or references to same exist about Ann White of Shalford and Messing, aka White-437, the daughter of White-225. Together with other children of Robert and Bridget (Allgar) White, a record of Ann’s baptism at Shalford, Essex (13 July 1600), was noticed in 1901 [5] and with more detail in 1915. [6] She was unmarried at the time her father wrote his will (1617).[7] Both the 1901 and 1915 published accounts notice her marriage in the Messing register to “John Porter of Felstead” as “Ann” or “Ann White of Messing.” [8] She and her husband had immigrated to Windsor by 1639. Ann resided there on the lot adjacent to her sister, Mary (White) Loomis.
Perhaps you have knowledge of further records, but those published in 1901 and 1915 make no reference to her as “Rose Ann” nor is she associated with a baptism in 1597 and/or reported “the third child” of White-225.
2. Don wrote, “How reliable is the "Genesis of the White Family ..."
Varlous "same surname" White family lines are reported in the 1920 work by Emma Siggins White and Martha Humphreys Maltby, Genesis of the White family : a connected record of the White family … [9]
As to relevant entries about the family of “Robert and Alice” White of Somerset and Robert White of Essex, the 1920 authors seemed to be summarizing information found in earlier published materials about those families.
(a) The 1920 authors address the family of Robert and Alice White of Somerset at pp. 36-37.[10] For the earlier substantial body of research about the same family, published in 1913, see Almira White, Ancestry of John Barber White and his descendants.[11] This earlier work incorporated an array of documentation, including the “Chancery Proceedings” (likely those referred to in the 1920 work [12]).
(b) The 1920 authors address the family of Robert and Bridget White of Essex at p. 336.[13] Referenced previously in this thread, earlier-dated substantial materials about Robert White of Essex are
"The Children of Robert White of Messing, Co. Essex, England, who settled in Hartford and Windsor," New England Historical and Genealogical Register 55 (1901):22-31; digital images, Hathi Trust (accessed 2014). In his sketch of the immigrant John White (d. Hartford), Robert Charles Anderson called this "an excellent article on the White family in England, and the connections to other New England immigrants" [The Great Migration Begins ... (1995), 3:1979].
Frank Farnsworth Starr [and James Junius Goodwin], Various ancestral lines of James Goodwin and Lucy (Morgan) Goodwin of Hartford, Connecticut, 2 vols. (1915, reprint in 199?), 2:395-419 ("The Family of Robert White"); digital images, Hathi Trust (accessed 2014). In his sketch of the immigrant John White (d. Hartford), Robert Charles Anderson called this the "best account in print of the immigrant and his children" [The Great Migration Begins ... (1995), 3:1979].
Separately, as part of an 1860 work on John White (d. Hartford; otherwise known as Robert and Bridget’s son), an appendix of transcribed documents pertaining to the area of Clemsford, Essex, England, “obtained from H. G. Somerby, Esq.,” was published. See Allyn Stanley Kellogg [and Josephine Almira Gleason Siems], Memorials of Elder John White, one of the first settlers in Hartford, Conn., and of his descendants.[14]
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