  Here we describe our attempts to establish statistically complete samples of
very high redshift galaxies by obtaining photometric redshifts of galaxies in
Medium Deep Survey (MDS) fields and photometric and spectroscopic redshifts of
galaxies in very deep STIS slitless spectroscopy fields. On the basis of this
analysis, we have identified galaxies of redshift z = 4.92 in an MDS field and
of redshift z = 6.68 in a very deep STIS field.
