I just did a quick search of T.H.
I wonder if the death certificate it is an old form that has both Territory of Hawaii and State of Hawaii. More weirdness.
http://answers.yahoo.com/question/index?qid=20080112074955AAx4ubn
"The Territory of Hawaii, abbreviated officially as T.H., was established on July 7, 1898 and dissolved on August 21, 1959 when Hawaiʻi became a state."
Example:
http://home.comcast.net/~eo9066/1942/42-09/IA040.html
THIS CASE ORIGINATED AT: Honolulu, T. H. --- FILE NO. 100-185
REPORT MADE AT: Honolulu, T. H.
Only trouble is that the form itself has “STATE OF HAWAII” in the upper left-hand corner, so when the form was printed it was recognized as being a state document.
Hard to say exactly what was going on, but there are several anomalies that make the document suspect to me.