Hi ,
If Neil D is correct about the update, it ends up being an OEM key, so you won't be able to activate it on a new computer with new hardware. You'll have to buy a new Windows key, a retail key, and then you can migrate if you change hardware again without problems.
This is not possible for OEM keys, especially if it was updated from the free version of Windows 7 and 8.
Give feedback if the information was useful or not.
Thanks