Question: Are Verbena and Soleirolia in the same family?

Context articles: Backhousia citriodora
Verbena brasiliensis
Verbena bonariensis
Verbena urticifolia
Soleirolia
Verbena simplex
Verbena
Aloysia citrodora
Stachytarpheta cayennensis
Verbena hastata

Backhousia citriodora (common names lemon myrtle, lemon scented myrtle, lemon scented ironwood) is a flowering plant in the family Myrtaceae, genus "Backhousia".
 It is endemic to subtropical rainforests of central and south-eastern Queensland, Australia, with a natural distribution from Mackay to Brisbane.
 Other common names are sweet verbena tree, sweet verbena myrtle, lemon scented verbena, and lemon scented backhousia.
Verbena brasiliensis, the Brazilian verbena or Brazilian vervain, is a flowering plant species from the vervain family (Verbenaceae).
 It is native to parts of South America, namely Brazil, but has spread its range in recent times and has occasionally become an invasive weed.
Verbena bonariensis (purpletop vervain, clustertop vervain, Argentinian vervain, tall verbena, or pretty verbena) is a member of the verbena family cultivated as a flowering annual or herbaceous perennial plant.
 In USA horticulture, it is also known by the ambiguous names "purpletop" (also used for the grass "Tridens flavus") and "South American vervain" (which can mean any of the numerous species in the genus "Verbena" occurring in that continent).
 For the misapplication "Brazilian verbena" see below.
Verbena urticifolia, known as nettle-leaved vervain or white vervain, is a herbaceous plant in the vervain family (Verbenaceae).
 It belongs to the "true" vervains of genus "Verbena".
Soleirolia soleirolii ( , syn.
 "Helxine soleirolii") is a plant in the nettle family.
 It has a number of common names, including baby's tears, angel's tears, mind-your-own-business, peace-in-the-home, pollyanna vine, polly prim, mother of thousands, and the Corsican curse.
 It has also been called Irish moss; however, it is not a moss, nor should it be confused with "Sagina subulata" or "Chondrus crispus" (an alga), which are also known as "Irish moss".
Verbena simplex, commonly known as narrowleaf vervain, is an herbaceous perennial plant in the verbena family.
 It is native to eastern North America where it is found in open, dry, habitats on calcareous soil.
 It is tolerant of disturbance, and is often seen in pastures and roadsides with sparse vegetation.
Verbena ( , vervain) is a genus in the family Verbenaceae.
 It contains about 250 species of annual and perennial herbaceous or semi-woody flowering plants.
 The majority of the species are native to the Americas and Asia.
Aloysia citrodora is a species of flowering plant in the verbena family Verbenaceae, native to western South America.
 Common names include lemon verbena and lemon beebrush.
 It was brought to Europe by the Spanish and the Portuguese in the 17th century and cultivated for its oil.
Stachytarpheta cayennensis is a species of flowering plant in the verbena family known by many English language common names, including blue snakeweed, Cayenne snakeweed, dark-blue snakeweed, bluetop, nettle-leaf porterweed, rattail, rough-leaf false vervain, blue rat's tail, Brazilian tea, Cayenne vervain, false verbena, joee, nettleleaf velvetberry, and Cayenne porterweed.
 Names in other languages include honagasō (Japanese), gervão-urticante (Brazilian Portuguese), piche de gato, rabo de zorro (Spanish), herbe á chenille, herbe bleue, queue de rat (French), ōi, ōwī (Hawaiian), and tiāki (Māori).
 It is native to the Americas, from Mexico south through Central and South America to Argentina, as well as many islands of the Caribbean.
 It is known in many other parts of the world as an introduced species, including regions in Africa, India, Indonesia, Australia, Florida in the United States, and many Pacific Islands.
 Its distribution is now considered pantropical.
 In many places it has become an invasive species.
Verbena hastata (American vervain, blue vervain or swamp verbena) is a flowering plant in the vervain family, Verbenaceae.
 It is a herb with opposite, simple leaves which have double-serate margins, borne on stiffly erect, branching square stems.
 The flowers appear in summer and are purple.
 This is a common plant that occurs across North America.
 They are hardy and drought resistant.