Question: Is Rudbeckia and Daviesia in the same family?

Context articles: Daviesia brevifolia
Daviesia triflora
Daviesia leptophylla
Rudbeckia
Daviesia
Rudbeckia occidentalis
Daviesia corymbosa
Rudbeckia fulgida
Daviesia horrida
Daviesia ulicifolia

Daviesia brevifolia (Leafless Bitter-pea) is a broom-like shrub in the family Fabaceae.
 It is endemic to Australia.
Daviesia triflora is a shrub in the pea family, Fabaceae, endemic to South West Australia.
Daviesia leptophylla, commonly known as narrow-leaf bitter-pea, is a broom-like shrub species in the family Fabaceae.
 It is endemic to Australia.
 It grows to 2 metres and has yellow and red pea flowers, produced between October and December in the species native range.
Rudbeckia is a plant genus in the sunflower family.
 The species are commonly called coneflowers and black-eyed-susans; all are native to North America and many species are cultivated in gardens for their showy yellow or gold flower heads.
Daviesia, commonly known as Bitter-peas, is a large genus of flowering plants in the legume family.
 They are native to Australia, with a center of diversity in western Australia.
 The genus is named in honour of Hugh Davies, a Welsh botanist.
 They have nitrogen-fixing bacteria contained in root nodules like other genera in their family.
Rudbeckia occidentalis is a species of flowering plant in the aster family known by the common name western coneflower.
 It is native to the northwestern United States from Washington to northern California and east to Wyoming and Montana, where it grows in moist habitat types, such as meadows.
 It is an erect perennial herb growing from a thick rhizome, its mostly unbranched stem approaching two meters in maximum height.
 The large leaves are generally oval but pointed, and lightly to deeply toothed along the edges, growing to 30 centimeters long.
 The inflorescence is one or more flower heads with purplish bases up to 6 centimeters wide.
 There are no ray florets, just an array of reflexed phyllaries around the purple-brown center packed with disc florets.
 This center, containing the receptacles, lengthens to several centimeters in length as the fruits develop.
 The fruits are achenes each a few millimeters long, some tipped with pappi of tiny scales.
Daviesia corymbosa, also known as narrow leaf bitter pea, is a species of flowering plant in the family Fabaceae native to the state of New South Wales in eastern Australia.
 A shrub to 2 m high, it grows in sandstone soils in open eucalyptus woodland or heath.
 It produces showy flowerheads of red and yellow flowers in the spring and early summer.
Rudbeckia fulgida, the orange coneflower or perennial coneflower, is a species of flowering plant in the family Asteraceae, native to eastern North America.
Daviesia horrida, the prickly bitter-pea, is a species of flowering plant in the family Fabaceae, endemic to the south-west of Western Australia.
 It is a prickly shrub, growing to between 0.3 and 2 metres in height.
 The red and yellow pea flowers are produced between July and November in its native range.
Daviesia ulicifolia, commonly known as gorse bitter pea, is a spiny shrub species in the family Fabaceae.
 It is endemic to Australia.
 It grows to two metres and has yellow and red pea flowers, produced between May and January in the species' native range.