The source of the family name is the genus Desis which is an intertidal spider and occurs along the coast on rocks and reef, but the rest of the family are not.
Badumna insignis (Koch Black House Spider)
The Black House Spider is common in most areas of Australia, including Tasmania, on trees, rocks, and built structures. Also found from Japan to New... 
Badumna longinqua (Brown House Spider)
B. longinqua is very common and is usually the spider found in tangles of leaves held together by messy webs on the outermost upper fringes of small...
Badumna sp. A Badumna
There are several Badumna species in Australia, as listed by Robert Raven in the checklist of Australian spiders 2005 based on Norman Platnick's...
Badumna sp?
A spider about 12mm in a tangled web in outer foliage. Possibly a Badumna sp but not one that seems obviously identifiable. It resembles the spider...
Toxopsoides
This Cycloctenoid is Toxopsoides, a genus currently in Desidae.