Hi Terry,
Correct me if I'm wrong, but that light appears more or less orange when it's on, doesn't it? If so, that would confirm my belief that we're looking at a neon bulb; they were a favorite of appliance manufacturers for many decades. If you have a voltmeter you can confirm that it's got 120V on either connection, but from your pictures I'm pretty sure of my diagnosis. There may be a resistor connected to the bulb; if there is you'll want to keep it unless the bulb you get comes with one.
You can get them pretty much anywhere; although you can find them cheaper, here's a pretty inexpensive one on Amazon.
Amazon.com: Eiko A1A T-2 Wire Terminal Halogen Bulb, 105-125V/0.6 Amp, Neon : Everything Else
A search for "110V Neon Bulb" will turn up lots of choices. It looks like you'll need to solder it in or use some wire crimps; I can't see exactly how it's connected to the circuit.
Hopefully that'll get you going!
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Can you tell what kind of light it is, e.g., incandescent, LED or neon? Most old school temperature controllers used a neon bulb, but not sure about what they're using on modern day ones.
crwdns2934271:0crwdnd2934271:0 Jerry Wheeler crwdne2934271:0
I believe it is incandescent. It looks like it's line voltage (120V). It's about 4mm dia. and 1.5cm tall.
crwdns2934271:0crwdnd2934271:0 Terry Toth crwdne2934271:0
@terrytoth Do you have the controller open? If so, that would be great for us to be able to see what you see, especially if you can get us a good, high resolution closeup of the bulb. Perhaps include pictures of whatever the bulb is attached or wired to as well.
Adding images to an existing question
crwdns2934271:0crwdnd2934271:0 Jerry Wheeler crwdne2934271:0
@dadibrokeit
I added 3 images to my original question post, Hope I did it correctly.
crwdns2934271:0crwdnd2934271:0 Terry Toth crwdne2934271:0