And if BobHarris' hints don't help you out, if you view the modem/router's broadband, or wide-area, or external (or however they call it) connection details configuration page (mine is called "Broadband Link Advanced Settings") and write down your mom's ISP account username, ISP account password, and ISP connection type (e.g., PPoA, PPoE, etc.), and other required information that you need to connect to the ISP, you could always do a factory default reset of the router and reconfigure it. There's usually a small hole on the back side of the router labeled "reset" meant to insert a straightened paper clip to depress a button in there (for about 5 secs or so) meant for that purpose.
Whether you reset the router or not, gather up and save the ISP login info and wireless password info on your computer, that is not usually at your Mom's. Do an ⌘i on that file containing all that information (ISP connection info and preferably WPA2 password or second preference WPA password or last preference WEP password) and click the "Locked" checkbox so you don't accidentally delete it.