Meanwhile, David Walter Bloom's death record (2 Nov 1956, Tucson, available at Ancestry.com) gives his parents as Hertz Bloom and Frieda (unknown surname). His son David A. Bloom was the informant.
I notice also that "Freida Kamm Bloom Kamm"'s Kamm children allegedly span birth years from the late 1870s to the 1890s. As far as we know, the Bloom siblings were born in the late 1870s-mid-1880s. Presumably Freida wasn't married to two men at the same time and didn't alternate between them. So something is off here, birth years and/or parents.
I suspect that there may have been an incorrect merger of Freida's profile at some point in the past.
The Freida Kamm who was married to Emil Kamm and died in Chicago in 1925 (not 1931) was from Lemberg (Lvov), which is nowhere near Kovno. https://www.familysearch.org/ark:/61903/1:1:NQ3K-G83
Is there any real evidence that this woman was ever married to Herzl Bloom?
For what little it's currently worth, a family living in Vilijampole in the late 1800s with very similar family members whom I have reason to believe might be this family (but for a different surname, so I can't swear it's them, though the surname is the one attributed to Herzl Bloom's other [?] wife) had a matriarch named Rokhe Feige (daughter of David Vulf), which could perhaps explain the use of both "Rose" and "Frieda" in anglicized records. (Even if this is the wrong family, a double name is still possible.) But I have no idea where "Bessie Kaplan" might come from.