The Rosewood Walk
The Rosewood Walk runs along and up the valley from the Moon Bridge through a section of remnant rainforest. The rainforest is made up of a wide variety of ferns (20ish different species) under a canopy of Scentless Rosewood (Synoum glandulosum), Sweet Pittosporum (Pittosporum undulatum) and Five-leaf Water Vine (Cissus hypoglauca). Mixed in with the more common canopy trees are Hard Corkwoods (Endiandra sieberi), a species of native laurel that is easily recognised by its corky bark. Black Wattles (Callicoma serratifolia) are also seen scattered in the forest.
On the creek side of the track are many Magenta Lilly Pillies (Syzygium paniculatum). This species was the first Lilly Pilly recorded by Joseph Banks when he landed at Kurnell in 1770, and I believe was introduced to Cooper Park by early bush regenerators. Sadly remnant populations of this species are now endangered, as they only occurred along a small section of the NSW coast around Sydney and their natural habitat is coastal rainforest flats that were mostly cleared.
Near the end of the Rosewood forest are a large number of Lacy Tree Ferns (Cyathea cooperi) and Bangalow Palms (Archontophoenix cunninghamiana) below a large Port Jackson Fig (Ficus rubiginosa) with wooden stairs leading up to it.
Continuing along the valley up the concrete stairs the canopy opens out and the lilly pillies now change to Blue Lilly Pillies (Syzygium oleosum). Toward the top of the concrete stairs the Blue Lilly Pillies are joined by Cheese Trees (Glochidion ferdinandi) and you will also see a large patch of Umbrella Ferns (Sticherus flabellatus).
Some plants you might see
Synoum glandulosum

Scentless Rosewood: Imparipinnate, Alternate, Raised midvein, Midvein domatia
Pittosporum undulatum

Sweet Pittosporum: Simple, Pseudo-whorled, Undulate margins
Endiandra sieberi

Corkwood: Simple, Alternate, Corky Bark, Midvein raised above and flattens into leaf on underside
Callicoma serratifolia

Black Wattle: Simple, Opposite, Saw toothed, White undersides, Interpetiolar stipule scars
Angophora costata

Sydney Red Gum: , ,
Cyathea cooperi

Lacy Treefern: , ,
Archontophoenix cunninghamiana

Bangalow Palm: , ,
Asplenium australasicum

Bird's Nest Fern: , ,
Syzygium paniculatum

Magenta Lilly Pilly: Simple, Opposite, Often pitted above, Multiple embryos in seed
Syzygium oleosum

Blue Lilly Pilly: Simple, Opposite, Long pointed tips, Large translucent oil dots
Glochidion ferdinandi

Cheese Tree: , ,
Sticherus flabellatus

Umbrella Fern: , ,
Pittosporum revolutum

Yellow Pittosporum: , ,