No, you can't have two thermostats wired to the same furnace. The thermostat in the hallway is a heating and cooling thermostat and it is almost certainly wired to the "furnace" in the attic. The evaporator coil is for the air conditioning and is attached to the furnace in the attic and uses the furnace fan to circulate the air.
I cannot say your wrong...but I need to tell you that basement furnace has two water pumps. That's why I believe each thermostat is wired to each pump. If one thermostat is set higher than the other one. Then the pump will pump out more than the other pump. I word it...water pipes wrong.. I know the furnace is connected to copper pipes with hot water in it to baseboards upstairs on first floor. Baseboards give off heat in baseboards' fins. Then cold copper pipes return to the furnace again. Its all I know. One other thing I think I learn right that the burner (flame) inside is always on whether or not hot water is used.
It is possible I learn wrong.
Furnaces don't have water pipes, they have 3/4" gas or oil pipes and they have ~3" combustion exhaust ducts that are sometimes made of pvc piping material. The word "furnace" referring a device that burns fuel to heat air. If you have a boiler, and you really have two water pipes going into the air handling unit (are they insulated?), one would be the supply and the other the return.
You say furnace burns fuel to heat air. I may learn wrong.
Now I see what you mean. Yes, the furnace heats air via duct on top. I don't know what it's for. Maybe I can say it's duct for ac? I have to say I am lost.
The furnace has oil pipes connected to the right side just to feed burner with flame inside on where water go through via copper pipes to become hot.
The way you say it sounds like I have two things: furnace/boiler in one big unit. Very old over 25 yrs.
Right, 62F is the heating setpoint -- but it looks to me like it is also the cooling setpoint. I can't tell from the pictures if the thermostat automatically changes between heating and cooling. Between "heat" and "cool" is there an "auto" that it is set for? Or just "off"?
The thermostat in hallway is just fixed for AC only. Although it has separate dial for heat, it is never used. If I turn it on..nothing happens.
It's not wired for heat because the central AC installer years ago knows I have two other thermostats in den and living room that are used for heating only.
If I set to auto, it will turn on AC for cooling purposes. It will cool the house. Evaporator coils some where in attic makes air cool on first floor.
I always set it off instead of auto. When set off nothing happens. Also on the same thermostat has another dial fan on or off. When I turn fan on, I could feel the ventaliation (air circulating) maybe even more if windows open and door open. Just nice air breeze circulating. I can feel the supply vents blowing just air and the return vent draws air into it. That's all there is to it. You may notice fan on and fan off. When I don't need fan, then I turn it off. The off is the same as fan off.I think it is. I can see in your first picture, the pointer in the upper left has options of "heat" and "cool". I think the unit in the attic has heating and cooling because the thermostat indicates it is for a unit that has both heating and cooling.
By leaving it set in "auto" it will change between heating and cooling on its own. Or just accidentally turning it on and not realizing that it is both a heating and cooling thermostat.
I agree that it should change between heating and cooling. But it's not.. No heat ... Maybe I am not realizing its both a heating and cooling element. Maybe ignorant. You are preparing me well and I will ask all those intellectual questions when the maintenance comes on April 4th.
Maybe I am duped in believing that that thermostat is just for AC only even though has heat and cool dials.
It isn't difficult to tell what a system is doing: if air is coming out of the supply vents, it is on. If the air is warm, it is heating and if the air is cold, it is cooling. And when it is cooling, the condenser outside will be on/make noise.
I will check it. I will try Heat again, but remember I told you about two other thermostats. There in whole.
It might be worth having a friend who knows about such things - or even getting a contractor - to come and poke around, looking at your equipment to tell you what you have. It isn't easy to tell from the limited and confused information you are able to tell us.