Even though the iPod shows as been connected, it might not have actually received a valid IP address via DHCP from your Wi-Fi access point or router. Head to Settings -> Wi-Fi and tap the > next to the network you are connected. If 169.xxx.xxx.xxx is listed for an IP Address, then your iPod did not receive a valid IP address. To correct this you can reboot your router by unplugging it from power for about 30 seconds.
It wouldn't hurt to also reset your iPod. To do this, press and hold both the Sleep/Wake and Home buttons together long enough for the Apple logo to appear.
Perhaps this article would be worth at as there may be a configuration on your mother's router/modem that is preventing access. This will require you to have admin access to the router/modem's configuration interface that is usually accessible via a web browser.
iOS: Recommended settings for Wi-Fi routers and access points
B-rock