Ultra High Energy, UHE, Neutrino Astronomy should be soon tested on Earth. At present High Energy Neutrino Astronomy is searched by AMANDA, ANTARES underground detectors looking for its muons secondary tracks. We suggest a complementary higher energy Tau Neutrino Astronomy based on Horizontal and Upward Tau Air-Showers observed by high mountain, balloon or satellite detectors. Possible early evidence of such a New Neutrino UPTAUs or HORTAUs (Upward or Horizontal Tau Air-Showers) Astronomy may be already found in BATSE gamma records of brief up-going gamma showers named Terrestrial Gamma Flashes. Future confirmation must be found in detectors as EUSO, seeking for Upward-Horizontal air-shower events: indeed even minimal, guaranteed, GZK neutrino fluxes may be observed if EUSO threshold reaches 1019 eV or lower energies by enlarging its telescope size.