First of all, if your daughter's machine is an OEM (original equipment manufacturers) machine, by which I mean one made by one of the main manufacturers like Dell, Hewlett-Packard or such, it will almost certainly have a "recovery partition" on the hard drive, so it's usually not necessary to send of for a set of recovery disks.
The recovery option is often found on the list of options in Recovery Environment, which I explained how to get to when you ran FRST.
The option will usually say something like "Return your computer to factory condition" or something along those lines. Just select the option and it will wipe the hard drive and re-install Windows exactly as it was when you first bought the machine.
However, you must be aware that selecting this option will erase everything on the hard drive, including your daughter's personal files and folders.
Because of this, if the files are important to your daughter, then we can try to see if we can recover those files before you reformat. This may or may not be possible, dependant upon whether the infection on her machine has actually encrypted her files, or has merely denied access to them.
If it is the latter, you may be able to access them and take a copy using a Linux distro, I've written an article on how to do this ... HERE
As far as learning about how to remove Malware goes, I learned here at Malware Removals. We run a course on how to become a helper in the Forums, details of which can be found HERESorry, just saw your latest post ...
Although your daughter's machine does indeed have a ransomeware infection, it also has Alurean, which is why I posted the warning. Both can probably be removed (it depends on whether the hard drive has truly been encrypted or not), but the process can be a long and involved one, and as I pointed out in the article I wrote on Remote Access Infections, we could never give you a guarantee that we had removed all changes made to the infected machine.
Many malware removal sites will just remove these type of infections, and if that's what you wanted then we can do that too, but here we believe it is important that people are made fully aware of the risks that come with remote access infections, so that you can make an informed decision.