screen saver logon?

I installed windows 7 on my mother's computer, she registered for the update and got windows 10.
she was using it for a while.. then two days ago I noticed her screen wasn't going to the blank screen saver anymore.

now instead, there is the time & date on top of a picture from inside a cave looking out to water as well as some rock formations.

upon clicking the mouse, a logon screen appears.
there's a purple logo
her full name
her email address

we don't know the password.
upon entering the wrong password it says.. 'you can't sign in to your device right now. go to account.live.com to fix the problem, or try the last password you used on this device.'

i'm only assuming this is a screen saver logon screen.. but really i'm uncertain because I've had less than one hour of use on the windows 10 operating system.

there's three options down to the right, one is the wifi connection, another is ease of access, the final one is a shutdown button.

restarting the computer, I hear the logon audio.. then the screen jumps directly to this same screen with the date and time on it - prompting for a password upon clicking the mouse anywhere on the screen.

could somebody tell me what has happened?
I don't know how I am supposed to go to a website when there isn't any option.. I've tried clicking the text for account.live.com but it isn't a link.

is there anything I can do besides erasing the hard drive and reinstalling windows 7 (then hope for the windows 10 upgrade again) ?

my mother upgraded her sister's computer in the other room first, then she did her computer in her room.
she doesn't remember if she entered Microsoft information or used a local account.

i'm not certain the difference between an email account type or local, but I am assuming it is an email account type because it is showing her yahoo email address.

if I could get to it, I would be able to set the screen saver.

I've already tried ophcrack as well as Offline NT Password & Registry Editor .. neither one of them helped with this 'lock screen' password.

thanks for the welcome to the forum.

I don't see how any of those options on the webpage you linked me to can help my situation.
I can't press any hotkey shortcuts because they go directly to the password input bar.
there is no access, as I said.. the computer boots up and goes directly to this 'lock screen'
the install disc is at my house, i'm already over here (but i'll bring the disc next time)
however, my mother has gone to run errands.. humor me with how Linux is setup and used to remove the password?