>
> No, that's not it. I disabled the (internal) firewall just for testing's 
> sake, and still nothing. I can only use Bind on localhost (e. g. on the 
> machine where I installed it), but not from any other machine on the 
> network.
>   
what does you named.conf look like? i am guessing you have it set to 
only listen on localhost
make sure you have a line similar to
listen-on port 53 { 192.168.10.1; };
and bounce named