So what is this blower going to do? Blow air directly into the woodstove?
Following are some safety things to consider for your project. These are some of the things electrical engineers do with the electrical products you buy in the store to be sure they are safe. And things electricians do to be sure the wiring in your home is safe...
One thing to check when "designing" electrical systems is amperage. You need the wiring, switches and controls to be able to handle the electrical load.
In this case it says the blower is 0.81 Amps, which is quite low. So commonly sized 14 gauge wire would be large enough to handle the load. And a regular 120 volt 15 amp circuit should easily be able to handle this load. (Regular outlet.)
It does not say the amperage rating of the thermal switch. You need to make *sure* when you are the "designer" of an electrical system that each component can handle the load! I would call and ask. They go to this effort with every electrical product you buy, best to do it for your own designed system as well.
Then that speed control does not list wattage or amperage either. I would call to find out the wattage or amperage rating is - again to be *sure* it can handle the load. And be sure you can connect this to the specific blower you are buying and it will not burn out the motor. Ask.
I'm sure those will easily handle the load, but you can't tell by looking. You need to know for sure when designing electrical systems.
Here is a calculator to convert watts to amps. Use the one under single phase...
http://www.jobsite-generators.com/power_calculators.html
Then how hot will it get in the area where the wiring will be run? You MUST know this so you can purchase and install the correct temperature rated wiring. If you look at the wiring inside a kitchen electric range or a space heater (where it gets to be quite hot), you will notice that special high temperature rated wiring is used.
The danger with using "any old wire" is that the insulation on the wire can melt, a bare wire could touch the metal frame of the wood stove, the woodstove could become electrified, and then a small child or someone in your family might touch it and be electrocuted.
Then a "strain relief" or "romex clamp" must be used where the wire enters the electrical box for the fan. If this is not done, the wire could scrape against the sharp metal edges of the electrical box, this could electrify the metal fan and the wood stove, then you again have an electrocution hazard.
Romex clamp...
Then for making electrical connections, the following "High Temperature Wire Nuts" are rated to 302° F...
(Electrical tape will melt.)
(Make darn sure it does not get hotter than that!)
http://cableorganizer.com/wire-connectors
Then because it is possible that metal parts could become electrified, it is necessary to ground everything metal. That is use a 3 prong plug and connect the ground wire to the fan, woodstove, and metal parts of speed control and thermal switch.
I would use metal flexible conduit to protect the wiring from the fan to the speed control and to the thermal switch. And I would use a metal electrical box for the speed control. And cover the thermal switch because that would have live 120 volt electricity at its bare connections. A small child could walk up and touch it, then be electrocuted. Or an animal. And again ground all metal parts.
What grounding does, is if an energized electrical wire touches a metal object, it creates a short which turns off the house circuit breaker and the electricity. Keeps everything safe.
On grounding...
http://www.electrical-forensics.com/EquipGnd/EquipGnd.html
http://www.tva.gov/power/homesafety.htm
The Case of the Do-it-Yourself Home Electrocution...
http://ecmweb.com/mag/electric_case_doityourself_home