Tractor Repair: 1963 ford 4000 tractor 4 cyl gas engine overheating, upper radiator hose, ford 4000 tractor

Question
We are not mechanics but try to keep this old tractor that we inherited from my father running.  One day the engine overheated and began spilling radiator content out of overflow drain hose and the gauge read 270. We verified that the gauge is accurate by placing a thermometer in the radiator.  To repair, we removed the lower radiator hose which removed most of the antifreeze and replaced the thermostat.  Engine is still overheating, within 10 minutes it heats to 200 and still climbing.  We are wondering if we installed the thermostat incorrectly. Unfortunately, when we pulled the cover for the thermostat away from the block the thermostat fell out so we do not know the correct position for the thermostat.  Does the coil side of the thermostat go into the block or into the cover towards the radiator?  We installed the thermostat with the coil end towards the engine block.  Our current installation is engine block, gasket, thermostat then cover. The thermostat cover has a pipe that the upper radiator hose attaches to.  Please advise if we installed the thermostat correctly and if so do you have any other suggestions as to why we are still overheating. Please advise and thank you for your time.

Answer
yes, that is the correct installation of the thermostat, engine block, thermostat, gasket then cover is the correct sequence, unless your gasket id the large rubber O-ring style, which i don't belive it is.
as for your over heating issue, install a new radiator cap (trust me on  this) the spring can wear out and cause it to over heat when it looses pressure. next, check your water pump to see if it cycling correctly (start it, look in the radiator with the cap off and look for bubbles) it may be a good idea to replace it anyway if it never has been changed. and if none of this cures the hover hear issue have your cooling system pressure tested. a lot of auto part stores rent pressure tester and the adaptors for 10 dollars or less. some make you "buy" the tool then when you bring it back you get your money refunded. one last thing, take a garden hose and wash out the radiator fins