@Brayton-Larson
Hello, old topic but if anyone is interested it's simple to implement.
You need to know the node ID of the receiving node, and send it a message from the gateway.
In the development version use the receive method/event that will trigger every time your node or gateway receives a message, if the message is sent by the door node, then you can send a message to the receiving node, and use the same receive method in the node to display a message/use the buzzer/...
void receive(const MyMessage &msg) {
// here process the message, see API/examples
}
And you can even use the esp8266 gateway to ring the buzzer directly to make it even more simple, then you only need one esp8266 as gateway and arduino/nrf24 as node.