Question: Are Comptonella and Quaqua in the same plant family?

Context articles: Datisca glomerata
Graptopetalum paraguayense
Hen and chicks
Borage
Malephora crocea
Quaqua
Comptonella
Eidothea
Paepalanthus bromelioides
Taxonomy of Liliaceae

Datisca glomerata is a species of plant native to California, Nevada, and Baja California known by the common name Durango root.
 It is one of only two to four species in the plant family Datiscaceae.
 It is an erect perennial herb with distinctive long, pointed, often sharply serrated leaves.
 It is said to superficially resemble "Cannabis" species.
 Its yellowish green flowers grow in clusters from the axilla of the leaf, where it joins the stem.
 A thick stand of the plant can form a medium-sized bush.
 All parts of this plant are toxic and in some areas it is considered a noxious weed.
 It is reported to be poisonous to cattle.
Graptopetalum paraguayense is a species of succulent plant in the jade plant family, Crassulaceae, that is native to Tamaulipas, Mexico.
 Common names include Mother-of-pearl-plant and Ghost plant.
 This is not to be confused with "Monotropa uniflora" which is also referred to as the “Ghost Plant”.
Hen and chicks (also known as hen-and-chickens, or hen-and-biddies in the American South) is a common name for a group of small succulent plants belonging to the flowering plant family Crassulaceae, native to southern Europe and northern Africa.
 They grow close to the ground with leaves formed around each other in a rosette, and propagating by offsets.
 The "hen" is the main plant, and the "chicks" are the offspring, which start as tiny buds on the main plant and soon sprout their own roots, taking up residence close to the mother plant.
Borage ( , Borago officinalis), also known as a starflower, is an annual herb in the flowering plant family Boraginaceae.
 It is native to the Mediterranean region and has naturalized in many other locales.
 It grows satisfactorily in gardens in the UK climate, remaining in the garden from year to year by self-seeding.
 The leaves are edible and the plant is grown in gardens for that purpose in some parts of Europe.
 The plant is also commercially cultivated for borage seed oil extracted from its seeds.
 The plant contains pyrrolizidine alkaloids, some of which are hepatotoxic, mutagenic and carcinogenic (see below under Phytochemistry).
Malephora crocea is a species of flowering plant in the ice plant family known by the common name coppery mesemb and red ice plant.
 It is native to Africa and it is grown in many other places as an ornamental plant and a groundcover.
 In California and Baja California this is an introduced species and often a noxious weed in coastal habitat such as beaches and bluffs.
 It is planted along highways in California and in Arizona it is utilized in landscaping for its low water needs and tolerance of sun.
 It has been recommended as a groundcover in areas prone to wildfire in southern California due to its low flammability.
The genus Quaqua falls within the tribe of plants known collectively as stapeliads.
 All stapeliads, including "Quaqua", are old world stem succulents.
Comptonella is a plant genus endemic to New Caledonia in the subfamily Rutoideae in the family Rutaceae.
 Molecular phylogenetic analyses suggest that this genus is nested in "Melicope".
Eidothea is a genus of two species of rainforest trees in New South Wales and Queensland, in eastern Australia, constituting part of the plant family Proteaceae.
 The plant family Proteaceae was named after the shape-shifting god Proteus of Greek Mythology.
 The genus name "Eidothea" refers to one of the three daughters of Proteus.
Paepalanthus bromelioides is a species in the flowering plant family Eriocaulaceae.
 This family is placed in the Poales, close to the Bromeliaceae, whose morphology this genus shares.
 "Paepalanthus bromelioides" is native to Cerrado, the area in which the carnivorous bromeliad "Brocchinia reducta" is also found.
 There is some speculation that the occasional insects trapped in the urn of this plant are evidence of its being a carnivorous plant.
The taxonomy of Liliaceae has had a complex history since the first description of this flowering plant family in the mid-eighteenth century.
 Originally, the Liliaceae or Lily family were defined as having a ""calix"" (perianth) of six equal-coloured parts, six stamens, a single style, and a superior, three-chambered (trilocular) ovary turning into a capsule fruit at maturity.
 The taxonomic circumscription of the Liliaceae family progressively expanded until it became the largest plant family and also extremely diverse, being somewhat arbitrarily defined as all species of plants with six tepals and a superior ovary.
 It eventually came to encompass about 300 genera and 4,500 species, and was thus a "catch-all" and hence paraphyletic taxon.
 Only since the more modern taxonomic systems developed by the Angiosperm Phylogeny Group (APG) and based on phylogenetic principles, has it been possible to identify the many separate taxonomic groupings within the original family and redistribute them, leaving a relatively small core as the modern Liliaceae family, with fifteen genera and 600 species.