Could be an issue with your ISP (caps) / a program recently installed on your pc or laptop affecting security/ add-ons in the browser. The list goes on.
Any recent changes that may have been made to your pc or browser that you know of?
It's hard to tell. Are you using the same ISP connection on the different laptops? I sometimes use different ISPs to connect to the internet, and when I use one of them, I get the same message you are getting when I visit a particular site.
hmmm I've read up on the issue, and it appears a lot of people have similar problems, not only related to godaddy.com.
It worked just fine when I used my cellphone as a wifi hotspot, so this is problably related to the ISP and data routing. I think I'll have to make a few phonecalls.