you need a placename for asking in the tyrolean country-archive for him - without a place they can´t search in the microfilmed churchbook-entries (Kirchenmatriken):
http://www.tirol.gv.at/themen/kultur/landesarchiv/archivbest...

familynameslist 1940/41 Tirol&Vorarlberg:
Thalhammer in > Achental, Hall, Innsbruck, Kufstein, Mayrhofen, Schwarzach

phonebook www.herold.at
Tirol has 20 entries for Thalhammer and 0 for Thalhamer