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Im guessing more likely a MAC address on the local lan , , ,

[dayglored]

>> do each of these appliances have thier own IP addresses?

Yes.

> Im guessing more likely a MAC address on the local lan

You're confused. MAC addresses and IP addresses are very different things, and a networked device must have one of each.

Every network-enabled device has a MAC address; it's an identifier in the embedded network interface chip in the device. It is by definition unique universally, since it's assigned by the manufacturer of the device when it's built.

An IP address is assigned (or configured) when the device joins a network, such as the local network (LAN) in your home/office, or the Internet.

The IP address has to be unique globally ONLY if it is connected directly to the Internet. In that case, it gets a "public" IP.

But if it's on your home/office LAN, which is configured using a NAT router (e.g. a home/office wireless router), then the device's IP address does NOT have to be globally unique. Rather it is "private", and only needs to be unique on that local network.