Question: Which genus has a smaller distribution, Barklya or Illicium?

Context paragraphs:
Illicium: Illicium is a genus of flowering plants treated as part of the family Schisandraceae, or alternately as the sole genus of the Illiciaceae.  It has a disjunct distribution, with most species native to eastern Asia and several in parts of North America, including the southeastern United States, Mexico, and the Caribbean.  General common names include star anise and anisetree.  The genus name comes from the Latin "illicere" ("to allure").

Lasiognathus: Lasiognathus is a genus of deep-sea anglerfish in the family Thaumatichthyidae, with six species known from the Atlantic and Pacific Oceans.  It has been called a "compleat angler", in that its lure apparatus appears to consist of a fishing rod (the projecting basal bone or pteropterygium), a fishing line (the illicium, a modified dorsal fin ray), bait (the bioluminescent esca), and hooks (large dermal denticles).  It is also distinctive for an enormous upper jaw with premaxillaries that can be folded down to enclose the much shorter lower jaw.

Gigantactis: Gigantactis is a genus of deep-sea fish of the family Gigantactinidae.  The species in this genus are poorly known and found in all oceans, at depths of 1000 - .  The most striking feature of these fish is extremely enlarged first filament of dorsal fin, called the illicium, with bioluminescent photophore at its end.

Viperfish: A viperfish is any species of marine fish in the genus Chauliodus.  Viperfish are characterized by long, needle-like teeth and hinged lower jaws.  A typical viperfish grows to lengths of 30 to .  Viperfish stay near lower depths (250 – ) in the daytime and shallower depths at night, primarily in tropical and temperate waters.  Viperfish are believed to attack prey after luring them within range with light-producing organs called photophores, which are located along the ventral sides of its body, and with a prominent photophore at the end of a long spine in the dorsal fin reminiscent of the illicium of the unrelated deepsea anglerfishes.  The viperfish flashes this natural light on and off, at the same time moving its dorsal spine around like a fishing rod and hanging completely still in the water.  It also uses the light producing organ to communicate to potential mates and rivals.

Skimmia: Skimmia is a genus of four species of evergreen shrubs and small trees in the Rue family, Rutaceae, all native to warm temperate regions of Asia.  The leaves are clustered at the ends of the shoots, simple, lanceolate, 6-21 cm long and 2-5 cm broad, with a smooth margin.  The flowers are in dense panicle clusters, each flower small, 6-15 mm diameter, with 4-7 petals.  The fruit is red to black, 6-12 mm diameter, a fleshy drupe containing a single seed.  All parts of the plant have a pungent aroma when crushed.  The botanical name, "Skimmia", is a Latinization of "shikimi" (シキミ, 樒), which is the Japanese name for "Illicium religiosum" as well as an element in "miyama shikimi" (ミヤマシキミ, 深山樒), the Japanese name for "Skimmia japonica".

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.

The Cooper Companies: The Cooper Companies, Inc. is a US based, multinational company in the medical specialities sector.  With its headquarters in Pleasanton, California, it has over 8,000 employees and consists of two subsidiaries, CooperVision (CVI) that provides contact lenses for both wearers and practitioners, and CooperSurgical (CSI) that provides products for health care professionals and establishments that are involved in women’s health care.  Contact lens sales, in particular, soft toric lenses which correct astigmatism, make up for 80% of Cooper Company sales.  Cooper Companies has manufacturing facilities in the UK, Puerto Rico and New York and distributes from Rochester, NY, Fareham, UK and Liege, Belgium, among many other smaller distribution locations.

Merrilactone A: Merrilactone A is one of the four sesquiterpenes that were newly discovered from the fruit of "Illicium merrillianum" in 2000.  Members of the genus "Illicium" include Chinese star anise, widely used as a spice for flavouring food and beverages, and also poisonous plants such as Japanese star anise.  Chemical studies of "Illicium" have developed rapidly over the last 20 years, and merrilactone A has been shown to have neurotrophic activity in fetal rat cortical neuron cultures.  This has led researchers to believe that Merrilactone A may hold therapeutic potential in the treatment of neuro-degenerative diseases such as Alzheimer's disease and Parkinson's disease.

Rhynchactis: Rhynchactis is a genus of deep-sea anglerfish in the family Gigantactinidae, containing three species found worldwide at depths greater than 400 m .  Adult female "Rhynchactis" reach a standard length (SL) of 11 - and have a dark-colored, streamlined body and a relatively small head bearing a very long illicium (the "fishing rod" formed by the first ray of the dorsal fin).  Unlike almost all other deep-sea anglerfishes, the illicium bears no bioluminescent esca (the "lure") at the tip.  The mouth is almost devoid of teeth, and the inside of both jaws are covered by numerous white glands that are unique to this genus.

Austrobaileyales: Austrobaileyales is an order of flowering plants, consisting of about 100 species of woody plants growing as trees, shrubs and lianas.  Perhaps the most familiar species is "Illicium verum", from which comes the spice star anise.  The order belongs to the group of basal angiosperms, the ANA grade, which diverged earlier from the remaining flowering plants, and, as such, it is the extant group after the Amborellales and Nymphaeales, that is sister to all remaining extant angiosperms outside of the ANA grade.  The order includes just three families of flowering plants, the Austrobaileyaceae, a monotypic family containing the sole genus, "Austrobaileya scandens", a woody liana, the Schisandraceae, a family of trees, shrubs, or lianas containing essential oils, and the Trimeniaceae, essential oil-bearing trees and lianas.

Supporting paragraphs: Barklya Illicium
Answer: Barklya