Linda,
I am sorry to hear that. Did you find any solution to the problem? How do you mean when you say it is the computer's fault? Would you be able to pinpoint what is going on?
There are different ways to connect a printer to a computer. You can network a printer by connecting it to your network (router). That way it is available all the time (or you can set limits on availability). You might try this method and look up how one might do it.
You can connect the printer locally to a computer through a LAN connection. You can then share your computer with other computers, but you will need to have the computer that the printer is connected to logged on before you can print.
And I've never had a wireless printer before, so I am not sure if you can connect it to more than one computer. But my guess is you should be able to and it is curious why it isn't working.
On the computer that isn't working, it has a wireless adapter, yes? Does it have all its current
drivers for it? Does it connect to your router via this method? Both of your computers would be wireless computers, yes?
I know computer stuff could be harrowing, but if you keep attempting to fix it, you might learn how to fix it in case the problem arises in the future.
You might also check the printer's manufacturer, maybe even call them to fin out how to connect it to your computer. Hope I've helped Linda.