Oh, boy. I don't want to get this wrong, so double-check my site recommendations and don't give any personal information if anything looks 'off', but
Start with
www.raglanroad.com
If there is more than one location, find and link to the Orlando one (obviously

)
Look for reservation information. I THINK it's
OpenTable.com, but I'm NOT positive that's the correct site name.
As a non-Disney-owned restaurant participating in this (or some) reservation service, it MAY be possible to make a reservation even when Disney says you can't.