Re the first response, the halacha as described in Shulchan Aruch 564 is quite different than presented. First, fasts always start at amud hashachar (72 minutes l'chumra, 90 minutes super l'chumra). The only exception is where one fell into a deep sleep with no intention of eating afterward. However, most people either set their clock to davka wake up early, or else hope that they'll wake up early enough to have a bite before the fast starts. In that very common case (possibly 100% nowadays), everyone agrees one may eat. Moreover, the Rema there on 564 says that we always have an intention to drink during the night, so there's no need to make a t'nai (condition) in order to drink if one wakes up unexpectedly early. So even for the machmirim, one can drink right before amud hashachar.