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

Context articles: List of Central American monkey species
Tiarella
Lagunaria
Geomitra tiarella
Tiarella scabricula
List of Panamanian monkey species
Tiarella trifoliata
Terebra tiarella
Tiarella (gastropod)
× Heucherella

At least seven monkey species are native to Central America.
 An eighth species, the Coiba Island howler ("Alouatta coibensis") is often recognized, but some authorities treat it as a subspecies of the mantled howler, ("A. palliata").
 A ninth species, the black-headed spider monkey ("Ateles fusciceps")is also often recognized, but some authorities regard it as a subspecies of Geoffroy's spider monkey ("A. geoffroyi").
 Taxonomically, all Central American monkey species are classified as New World monkeys, and they belong to four families.
 Five species belong to the family Atelidae, which includes the howler monkeys, spider monkeys, woolly monkeys and muriquis. Two species belong to the family Cebidae, the family that includes the capuchin monkeys and squirrel monkeys.
 One species each belongs to the night monkey family, Aotidae, and the tamarin and marmoset family, Callitrichidae.
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:
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.
Geomitra tiarella is a species of air-breathing land snail, terrestrial pulmonate gastropod mollusks in the family Hygromiidae, the hairy snails and their allies.
Tiarella scabricula is a species of sea snail, a marine gastropod mollusk in the family Mitridae, the miters or miter snails.
At least six monkey species are native to Panama.
 A seventh species, the Coiba Island howler ("Alouatta coibensis") is often recognized, but some authors treat it as a subspecies of the mantled howler, ("A. palliata").
 An eighth species, the black-headed spider monkey is also often recognized, but some authorities regard it as a subspecies of Geoffroy's spider monkey.
 All Panamanian monkey species are classified taxonomically as New World monkeys, and they belong to four families.
 The Coiba Island howler, mantled howler, black-headed spider monkey and Geoffroy's spider monkey all belong to the family Atelidae.
 The white-headed capuchin and Central American squirrel monkey belong to the family Cebidae.
 the family that includes the capuchin monkeys and squirrel monkeys.
 The Panamanian night monkey belongs to the family Aotidae, and Geoffroy's tamarin belongs to the family Callitrichidae.
Tiarella trifoliata, commonly called threeleaf foamflower, laceflower, or sugar-scoop, is a dicot in the family "Saxifragaceae".
Terebra tiarella is a species of sea snail, a marine gastropod mollusk in the family Terebridae, the auger snails.
Tiarella is a genus of sea snails, marine gastropod mollusks in the family Mitridae.
× "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.