TPMS was an option on some 10th gen Corolla CE's. The Corolla CE with the Convenience and/or Enhanced package comes with TPMS (also adds power locks, keyless remote,etc.) Do you happen to have the Corolla CE with no upgrade packages?
Oh then I'll have to look into this. I suspect that maybe certain 2009-2010 10th gens have the tpms button somewhere else or don't have it at all. My 2011 CE with the Convenience Package has the TPMS button in the driver footwell beside the OBD connector location.
Have you checked the glovebox to see if it's anywhere in there?