Synonyms for Thirstiness (same or very similar meaning)
WordNet sense 1 (a deficiency of moisture (especially when resulting from a permanent absence of rainfall)):
aridity, aridness
WordNet sense 2 (a physiological need to drink):
thirst
WordNet sense 3 (strong desire for something (not food or drink)):
hunger, hungriness
From the ODE community, based on WordNet
add/edit