As I said Malwarebytes got some of the problem. I Googled around and read something about this being a Firefox addon/plugin that had attached itself to my computer. Sure enough! There it was, happily working away on my addons list. I simply removed it. Problem solved!

Razzle51, since this was your thread I hope you return and get help for your problem, if it the same as mine.

Thank you, everyone who replied to help!