That's an odd one, Leslie! Did you try rebooting, maybe even resetting? Clear cache, clear data?? It sounds like the poor thing is having a brain malfunction and needs to clear its head somehow. Your LAN is not the internet, so there could be some problem with DNS (I think it's called) or some other problem connecting to your ISP.
Anybody know more about this stuff than I do? (Silly question -- of course you do!
)