Question: Do the genuses Tiarella and Lagunaria belong to the same family?

full_context: Document 1: × Heucherella: × "Heucherella" is an evergreen perennial flowering plant in the family Saxifragaceae. A hybrid of garden origin, it is the result of a cross between two distinct genera, "Heuchera" and "Tiarella", and shows similarities to both parents. This type of intergeneric hybrid is quite rare, and is indicated by a multiplication symbol before the name. The name "Heucherella" is an example of a portmanteau word, a combination of the two parents' names.
Document 2: Tiarella scabricula: Tiarella scabricula is a species of sea snail, a marine gastropod mollusk in the family Mitridae, the miters or miter snails.
Document 3: Gynura aurantiaca: Gynura aurantiaca, called purple passion or velvet plant is a species of plants in the chrysanthemum family It is native to Southeast Asia but grown in many other places as a house plant. In warm regions, it is frequently grown in outdoor on patios and in gardens rather than inside buildings, and hence it has escaped into the wild in Africa, Australia, South America, Mesoamerica, Florida, and a few other places.
Document 4: Lagarostrobos: Lagarostrobos franklinii is a species of conifer native to the wet southwestern corner of Tasmania, Australia. It is often known as the Huon pine or Macquarie pine, although it is actually a podocarp (Podocarpaceae), not a true pine (Pinaceae). It is the sole species in the genus Lagarostrobos; one other species "L. colensoi" (endemic to New Zealand) formerly included has been transferred to a new genus "Manoao". The genus was also formerly included in a broader circumscription of the genus "Dacrydium".
Document 5: Trollius: Trollius is a genus of about 30 species of plants in the family Ranunculaceae, closely related to "Ranunculus". The common name of some species is globeflower or globe flower. Native to the cool temperate regions of the Northern Hemisphere, with the greatest diversity of species in Asia, trollius usually grow in heavy, wet clay soils.
Document 6: Lapageria: Lapageria is a genus of flowering plants with only one known species, Lapageria rosea, commonly known as Chilean bellflower or copihue ("co-pee-way" < Mapudungun "kopiwe"). "Lapageria rosea" is the national flower of Chile. It grows in forests in the southern part of Chile, being part of the Valdivian temperate rain forests flora.
Document 7: Lechenaultia: Lechenaultia is a genus of plants in the Goodeniaceae family. Some species of this genus are used like ornamental plants. "Lechenaultia" species are diverse in form: they may be woody or herbaceous, upright or prostrate with leaves flat, needle-like or virtually absent in mature plants. The genus differs from other Goodeniaceae in the structure of the stigma and the fertilization mechanism. They are found in Australia and New Guinea (one species).
Document 8: Tiarella trifoliata: Tiarella trifoliata, commonly called threeleaf foamflower, laceflower, or sugar-scoop, is a dicot in the family "Saxifragaceae".
Document 9: Tiarella: Tiarella, foamflower, is a genus of wildflower and garden plants found in Asia and North America. They belong to the Saxifrage family (Saxifragaceae). Some species are:
Document 10: Lagunaria: Lagunaria is a monotypic genus in the family Malvaceae. It is an Australian plant endemic to Lord Howe Island, Norfolk Island and parts of coastal Queensland. It has been introduced to many parts of the world. The genus was named for its resemblance to the earlier genus "Laguna" Cav., which was named in honour of Andrés Laguna, a Spanish botanist and a physician to Pope Julius III.
Document 11: Shortia: Shortia is a small genus of subshrubs or perennial herbs in the family Diapensiaceae. There are five species, four in Asia and one in the Appalachian Mountains of eastern North America. They are found in mountainous areas, generally from 1000 – elevation. All have restricted ranges and are generally considered rare. Three of the species, "S. galacifolia", "S. soldanelloides", and "S. uniflora" are often cultivated. The genus was by Asa Gray named after botanist Charles Wilkins Short. In Gray's diary entry for April 8, 1839, he named the genus after Charles Wilkins Short because the plant was native to America in a region close to where Short lived, which was Kentucky. Short and Gray never met but they corresponded with one another frequently. Short never saw a live nor dried specimen of his namesake genus.
Document 12: Howea: Howea is a genus of two palms, "H. belmoreana" and "H. forsteriana", both endemic to Lord Howe Island, Australia. "H. forsteriana" in particular is commonly grown as an indoor plant in the Northern Hemisphere, and the two species form the mainstay of the island's palm seed industry and more importantly its trade in newly germinated seedlings. The palms are also cultivated on Norfolk Island, where seeds are produced for export.
Document 13: Tiarella (gastropod): Tiarella is a genus of sea snails, marine gastropod mollusks in the family Mitridae.
Document 14: Lavatera assurgentiflora: Lavatera assurgentiflora – now classified as Malva assurgentiflora, the island mallow, mission mallow, royal mallow, island tree mallow, malva rosa, is a species of flowering plant in the mallow family.
Document 15: Caulophyllum: Caulophyllum is a small genus of perennial herbs in the family Berberidaceae. It is native to eastern Asia and eastern North America. These plants are distinctive spring wildflowers, which grow in moist, rich woodland, it is known for its large triple-compound leaf, and large blue, berry-like fruits. Unlike many spring wildflowers, it is not an ephemeral plant and persists throughout much of the summer. Common names for plants in this genus include Blue Cohosh, Squaw Root, and Papoose Root. As hinted at by its common names, this plant is well known as an alternative medicine for inducing childbirth and menstrual flow; it is also considered a poisonous plant.
ground_truth: no