Might be a kickstarter opportunity for a device that does the following:
Gets the caller id and when person who answers hits a button prints out an order form with the customers name.
Later version could actually store info about the customer in the device.
The point of this device is to have as little disruption to the existing work flow as possible. Just plug it in to the incoming phone line.
Probably could be prototyped using a small linux box where you get a local restaurant that you know ("you" means person who does this) to validate the idea. Small box isn't the final product or form factor only a way to see if the idea provides value.