that local address is YOUR address.
The internet address you get is actually the one assigned to your router.
To make HFS work over the internet you configured your router.
You can tell HFS to automatically use your router's address. It is called "external address", and you will find some features about it, like "find external address at startup". Since your external address when you reconnect to the internet, it's good that HFS refresh it.
Any way you can tell HFS what address you want to use, it's in the IP address menu.
You may also choose to use a dynamic DNS. If you don't know what it is try to google it.