After half an hour, Windows Update is still checking for updates.
Other kinds of software updates are working well on both machines.
A moderator installed Linux on an old XP computer and it runs well.
I have Ubuntu dual booting on an old XP computer that's 13 years old and it runs fairly well.
I do not know if that explains anything nor if something is still wrong. I accepted just the unpdate for IE9 and clicked install. After the restart and Windows Update informed of the other updates being available, I clicked to take just three of them (the Office updates), but after more than an hour, only showed "0% complete". Interested in any clear advice;meanwhile I will see what can be updated (Windows updates) on the other person's laptop. Two DIFFERENT laptops, each having a different user.