Question: Are Barklya and Celtis both genuses?

Context paragraphs:
Celtis tournefortii: Celtis tournefortii, commonly known as the oriental hackberry is a deciduous tree in the "Celtis" genus.

Barklya: Barklya is a genus of Australian trees in the legume family, Fabaceae.  It belongs to the subfamily Caesalpinioideae.  The sole species is Barklya syringifolia, commonly known as the leather jacket or crown of gold tree.  It grows in rainforest to 18 metres tall.  Recorded from Queensland and New South Wales in vine forest and softwood scrub.  It is often used as an ornamental.  It may be extinct in New South Wales.

Celtis planchoniana: Celtis planchoniana is a deciduous tree in the "Celtis" genus, native to parts of eastern Europe and western Asia.

Cannabaceae: Cannabaceae is a small family of flowering plants.  As now circumscribed, the family includes about 170 species grouped in about 11 genera, including "Cannabis" (hemp, marijuana), "Humulus" (hops) and "Celtis" (hackberries).  "Celtis" is by far the largest genus, containing about 100 species.

Celtis paniculata: Celtis paniculata, is a coastal rainforest tree.  In Australia it occurs from Kiama (34° S) in New South Wales to the Endeavour River (15° S) in tropical Queensland.  It also grows at Norfolk Island, rastern Malesia, Micronesia, and eestern Polynesia.  In Australia it is known as the commonly known as native celtis, silky celtis, native hackberry, or investigator tree.

Celtis: Celtis, commonly known as hackberries or nettle trees, is a genus of about 60–70 species of deciduous trees widespread in warm temperate regions of the Northern Hemisphere, in southern Europe, southern and eastern Asia, and southern and central North America, south to central Africa, and northern and central South America.  The genus is present in the fossil record at least since the Miocene of Europe, and Paleocene of North America and eastern Asia.

Celtis bungeana: Celtis bungeana, commonly known as Bunge's hackberry is a deciduous tree in the "Celtis" genus that can grow 15 meters in height.

Sasakia charonda: Sasakia charonda, the Japanese emperor or great purple emperor, is a species of butterfly in the family Nymphalidae.  It is native to Japan (from Hokkaidō to Kyūshū), the Korean Peninsula, China, northern Taiwan and northern Vietnam.  Its wingspan averages 50 mm for males, and 65 mm for females.  They are common in the upper canopies of forests, only coming down to feed or to find salt sources.  The larvae of the species feed on hackberries, like "Celtis jessoensis", "Celtis japonica" and "Celtis sinensis".

Celtis tala: Celtis tala (or "Celtis ehrenbergiana"), known as tala, is a medium size deciduous tree, native to tropical and subtropical South America.  With small to medium-sized spines, its one of the main components of the Gran Chaco prairies and certain areas of the Argentinian pampa.

Celtis koraiensis: Celtis koraiensis, commonly known as the Korean hackberry is a deciduous tree in the "Celtis" genus.  The species is endemic to the Korean Peninsula and the north of China.  It is typically found in altitudes of 100 to .

Supporting paragraphs: Barklya Celtis
Answer: yes