Okay, I have some data to report and I can say that it appears to work well. I now have 2 ha-bridge's running, 1 at each location. I did a 'discover' from the Alexa web page while sitting in location 1 and sure enough it found the new devices on the ha-bridge at location 2. The original devices from ha-bridge 1 were still there. I then asked the Echo at location 1 to turn on and off devices both in location 1 and location 2 and they worked (I have a remote camera so I can see what is happening in location 2 - which is good because it is 150 miles away). I will have to wait until I'm at location 2 again to try the Dot there, but I think it will work fine.
This means that Amazon must be querying all devices in the account, and it must keep track of which device found the ha-bridge so it can talk to it specifically when asked to access a device. I was worried about this because there is a mention of round-robin problems in the ha-bridge github page, but either that has been resolved, or doesn't apply in this case where there are different networks involved.
Anyway, all seems to be good. I hope this helps someone else who may try it in the future.