Question: Are Celosia and Gleditsia both native to Australia?

Context articles: Gleditsia caspica
Celosia palmeri
Gleditsia sinensis
Celosia argentea var. cristata
Gleditsia
Gleditsia × texana
Celosia nitida
Celosia
Gleditsia aquatica
Honey locust

Gleditsia caspica (Caspian locust or Persian honeylocust) is a species of "Gleditsia" native to western Asia, in the Caucasus region of Azerbaijan and northern Iran, close to the Caspian Sea.
Celosia palmeri, commonly known as Palmer's Cockscomb, is a species of flowering plant in the amaranth family, Amaranthaceae, that is native to the lower Rio Grande Valley of Texas in the United States as well as northeastern Mexico.
 The specific name honours British botanist Edward Palmer (1829-1911), who collected the type specimen in Monclova Municipality, Coahuila in 1880.
 It is a perennial shrub reaching a height of 0.3 - .
 Flowering takes place from summer to winter.
Gleditsia sinensis is a species of flowering plant native to Asia.
Celosia argentea" var.
 "cristata, known as cockscomb, is the cristate or crested variety of the species "Celosia argentea".
 It was likely originally native to India, where it was saved from extinction in cultivation by the religious significance and superstitions attached to the variety by Indian, Burmese, and Chinese gardeners who planted it near temples.
 The somatic chromosome number for the cristate variety is 2n = 36, while investigation of the typical species revealed a chromosome number of 2n = 72.
Gleditsia (locust) is a genus of trees in the family Fabaceae, subfamily Caesalpinioideae, native to North America and Asia.
 The Latin name commemorates Johann Gottlieb Gleditsch, director of the Berlin Botanical Garden, who died in 1786.
Gleditsia × texana, Texas honey locust, is a tree native to America.
 It is a naturally occurring hybrid of "Gleditsia aquatica" × "Gleditsia triacanthos".
Celosia nitida (or "Celosia texana") is commonly known as West Indian Cockscomb.
 It is a native perennial in Texas and Florida, though it Florida, it is currently listed as an endangered species.
 It is also found in Central and South America.
 The plant can grow up to 2 m (6 feet) in height, and flowers in fall to winter.
Celosia is a small genus of edible and ornamental plants in the amaranth family, Amaranthaceae.
 The generic name is derived from the Ancient Greek word κήλεος ("kḗleos" ), meaning "burning," and refers to the flame-like flower heads.
 Species are commonly known as woolflowers, or, if the flower heads are crested by fasciation, cockscombs.
 The plants are well known in East Africa’s highlands and are used under their Swahili name, mfungu.
Gleditsia aquatica, commonly called water locust or swamp locust after its habitat of river swamps and slough margins, is a tree native to the Southeastern United States and adjacent regions.
The honey locust ("Gleditsia triacanthos") also known as the thorny locust, is a deciduous tree in the Fabaceae family, native to central North America where it is mostly found in the moist soil of river valleys ranging from southeastern South Dakota to New Orleans and central Texas, and as far east as eastern Massachusetts.
 The species has become a significant invasive weed in other regions of the world.