Unless you have a local insect zoo interested in taking it, your choice is to either release it somewhere away from people, or to kill it. If you have found a safe place for them to live there are likely others around.
There are sure to be more around. They aren’t threatened or endangered, but they can possibly endanger you or yours. Feel free to kill them with no guilt.
I had one in the garden for quite a while. She was quite shy and didn’t seem to bother anything. Then one night I noticed another, smaller one setting up shop near the first one. I sprayed the area. I’m not a big fan of killing stuff or pesticides, but I didn’t want them to get out of hand. Now I’ve been noticing a similar web in the house. I’m trying to trap it with duct tape but so far no luck. I don’t think there’s much for it to eat in the house so it may be moot. I’m sure there are more outside but I’m not going hunting for them. If I see any in the house I will kill them.
I second the death vote. You might get lucky and never see another one if you decide to release it, but chances are she will mobilize her spider army and swarm your house. Then you’ll have a big problem.
Release it outside and don’t worry about it. They’re very common and really not all that dangerous. We had zillions of them in and around our house when I lived in Arizona.
A lot more people die every year from mosquito bites than black widow bites. So if you kill the spider then all the mosquitoes she would have eaten will live.
If you consider all the mosquitoes that all her future offspring and all their future offspring would have eaten, and at the same time all the new generations of mosquitoes that would be born, it might be adding millions of life-threatening parasites to the world just by killing that one, timid spider.
I had, what I assume was the same black widow, build it’s web at the same spot every summer in front of my house. She did this for about 4 years but I’m guessing that about the extent of a black widow’s life span cause I didn’t see it this summer.
They might not be harmless but what are the odds of them actually seriously hurting you?