Ok, some of this may have been covered in other replies as I have not read them all, but this issue has raised its head before here and on other sites and seems to be doing the rounds again. This will be the second post tonight on two sites I have visited.
The Brown Recluse Spider Does Not Exist in Australia. It is a spider found in the US. I did a fair bit of research on this about 18 months ago at work as the question was raised. A lot of net research and speaking to the WA museum made me aware this spider does not exist in Australia and is a myth purported by spam emails and does the rounds regularly. If you read or get any of the emails Australia has been substituted for America and is fairly blatant it has been modified.
There is also a lot of misconception with the white tailed spider. The white tailed spider itself is not poisonous. Again in consultation with WA museum, a couple of doctors, friends bitten by white tail spiders and the spider clearly identified and confirmed (4 had absolutelly no reaction and 1 had major illness and necrosis as a result) and many hours on the net. The information I have is it is believed that the venom and the bite are not the issue, but the type of bacteria that are parasitical on the spiders fangs cause the issues after entering the human blood stream. It is estimated that around 20% of the population may have some adverse reaction ranging from minor (minor necrosis, headache, nausea, minor difficulty breathing and more and these may occur individually or concurrentlly) to serious medical implication (severe necrosis that may lead to skin grafts being required and or amputation of affected parts, severe respiratory distress and a number of chronic complaints). As I have said I personaly know of one person this can be directly attributed to a bite from this spider. Of this 20% most have minor reactions and make full recovery, but as I know personally some have chronic and debilitating problems. About 80% of the population will have absolutelly no reaction.This is why it has never been regarded as a major health concern.
Just to clarify as far as I have been able to determine it is not the white tail spider or its venom that cause any issues, but the bacteria entering a humans blood stream and then having and adverse or allergic reaction in that person.
Sort of like the Komodo dragon, it is not actually the bite from these reptiles that will kill you, but the bacteria that breed in their mouth on the rotting meat that is stuck there and from eating rotten meat.

