It is what you fear it is, but don't panic, they're not aggressive and aren't looking for people to bite. Bites are often the result of them accidentally being crushed against the skin. Certainly put it outside.
If you could stand to, would you be able to take a couple more pics? Perhaps in a steep sided glass bowl (they don't climb well on slippery surfaces). The pics are a little distorted due to the glass...it's not easy to tell the gender of the spider, although it has a bulbous abdomen, I'm wondering if it isn't a juvenile male? Males & spiderlings do get around, but unless you are seeing more in typical places, theres no reason to think you will be inundated. Mature females usually tend to stick to one spot, running & hiding if interfered with.
Here's some balanced info on false widows:
Thanks for that. The swellings on the ends of the pedipalps suggest it is a juvenile male, it could have wandered in from anywhere, be aware they are potentially in the area & check out any other suspects, but try not to loose sleep over him...most stay out of our way & largely go unnoticed. Males are seen as they are conspicuous when wandering in the open.
Thank you for your help. I found it behind some speakers on a window ledge and it was doing a mighty fine job of catching blue bottles!! What made me suspicious before even catching it was the really thick web. I shall be on my guard for more as my house does seem to attract spiders anyway!! Anyway thanks again :-)