Someone logging into Apple account over and over

Question

So I am posting this question on behalf of my mother, whose iTunes account, it seems, is being logged into. However, this seems different and extremely odd because, at any given time, she will receive emails every minute for up to 10 minutes at a time, each saying "your account was signed into from a new device" etc. To me, this makes absolutely no sense, because why would someone log in, and then log in, and then log in, etc over and over?
I have no idea how to fix this problem. My mother says she changed her password twice and is still receiving the emails, sometimes in the middle of the night, always in a set of a bunch of them. I told her I thought it was some type of glitch. She, being paranoid (but possibly right), thinks multiple people are logging into her account at once.

Answer 1

Hey there ZxWhiz,
It sounds like your mothers Account keeps being logged into on other accounts, or at least thats what the messages indicate, even though she has already changed her password 2 times. I would like to recommend that she enable Two Step verification for her account:
Frequently asked questions about two-step verification for Apple ID
http://support.apple.com/kb/HT5570
This is a highly secure method of protecting your Apple ID and I cannot stress this enough:
What do I need to remember when I use two-step verification?
Two-step verification simplifies and strengthens the security of your account. After you turn it on, there's no way for anyone to access and manage your account at My Apple ID other than by using your password, verification codes sent to your trusted devices, or your Recovery Key. You must be responsible for:
Remembering your password
Keeping your trusted devices physically secure
Keeping your Recovery Key in a safe place
If you lose access to two of these three items at the same time, you could be locked out of your Apple ID permanently. With two-step verification turned on, only you can reset your password, manage your trusted devices, or create a new Recovery Key. Apple Support can help you with other aspects of your service, but they aren't able to update or recover these three things for you.
If you have additional concerns about her account security then she can reach out to our Account Security team directly with the following article:
Apple ID: Contacting Apple for help with Apple ID account security
http://support.apple.com/kb/HT5699
Thank you for using Apple Support Communities.
All the best,
Sterling