You don't say what version of Windows is involved, but if it's Windows 8 or later, what you're seeing is most likely the result of the Windows Fast Startup and/or Hibernate features. These features turn a Windows shutdown operation into a suspend-to-disk operation. The point of this is to reduce startup times, since it's faster to resume from a suspend-to-disk than it is to fully start the OS. The problem is that this leaves the filesystems in an inconsistent state, and that's what the message you see in GParted Live is telling you when you attempt to mount the partitions.
The best solution is to boot the disk into Windows (on the original computer, using the original Windows installation) and disable these two features. Doing so is described here for Fast Startup and here for Hibernate. I realize you say that the computer has stopped booting, but it might be best to tackle that problem rather than do anything else, at least initially. (OTOH, if you've done anything to write to those partitions, then you've already eliminated the value of this approach over the next one....) You might want to ask about such repairs on a Windows-specific forum.
If you really can't get the original computer to boot the original OS, then the next-best approach is to connect the disk to another Windows computer and use it to repair the filesystems. Note that, if that computer uses Fast Startup, you should either use a "safe eject" type feature (if one is available) or disable Fast Startup and Hibernate on it before moving the disk anywhere else. If you just shut down with Fast Startup active, you'll end up with the same inconsistent state for the disk. (I'm not a Windows expert, so I can't say how you'd "safely eject" the disk. This is fairly easy with USB flash drives, but I don't know about hard disks.)
If you have no other Windows computer at hand, you might be able to use a Windows emergency disk for this task. I don't have pointers to these offhand, but I know they exist, floating around on the Web from reputable sources (even Microsoft, IIRC). Be sure to use something from a reputable source, though; if you download it from a site called "Sergei's Super Honest Not-a-Computer-Criminal Get Good Stuff Cheap," you may find your computer infected with malware when you're done.
As a final last-ditch effort, you could try using the
recover option when mounting the partition in Linux, as in:
sudo mount -o recover,ro /dev/sdb2 /mnt/foo
This might mount the disk. Note that in my example, I've also specified
ro (read-only), to minimize the risk of this approach. With any luck, you'll at least be able to copy files off the disk. I can't guarantee that this will work, though.