There should be one heater hose that connects near the thermostat housing (topside of intake manifold) that carries hot coolant to the heater core inlet. The heater return hose would travel flrom the heater core outlet to the water pump. Has the heater core been bypassed by a previous owner because it was leaking?. . . .I noticed that there is not a heater valve? AKA the two small rubber hoses going to and from the water pump and the heater core are uninterrupted. Is there supposed to be a heater valve on one of those lines? Is that why it may not be coming up to running temperature? Dropped a new thermostat in with no change. . . . .
If there is a heater hose from the top of the intake manifold to the heater core, then it is possible that the heater core is corroded and plugged and will not allow hot coolant to flow thorugh the device.
If a coolant flow shut off valve were installed in the heater plumbing circuit, it would be vacuum controlled and only closed when MAX A C / air conditioning was selected. Since you have no heater flow control valve that is not the cuase of the no heat.