Auto-Gen Customer Password Reset Issue

I have been getting many customer complaints that the shopping cart system is constantly sending out e-mail notices to them to reset their password.  I do NOT have ANY settings to do this active in the PC control panel, yet it keeps happening.  I have one customer that has had the notices (and their account screwed-up as a result where I had to go in as an admin and manually reset their password) happen 3-4 times this year alone.

I just un-checked "advanced security to User Login pages" in the control panel section "Advanced Security Settings" to see if that helps.  Would this issue arise if the checkbox for "Send an email to customer when the password is successfully reset" under the section labeled: "Password & Login" were checked cause this issue?  By its wording, I would think this would only go out IF the user was to manually reset their password themselves through the user control panel when they login to the webstore.  NOT that it would auto-generate a "reset your password" email to users.

I REALLY need help with this!  My customers are getting frustrated with having to deal with this, which will cause our customers to go elsewhere for their purchasing needs!