We present a high-resolution spectrum of the high-redshift, lensed quasar Q
1208 + 1101, obtained with the echellette spectrograph on the Multiple Mirr
or Telescope. We examine the new and published spectra and provide an updat
ed list of high-confidence metal-line absorption systems at z = 1.1349, 2.8
626, 2.9118, 2.9136, and 2.9149. Combining this with a simple model of the
gravitational lens system allows us to constrain the possible lens redshift
s. The high-redshift (z > 2.5) and low-redshift (z < 0.4) candidates can be
ruled out with high confidence. The current spectra effectively probe abou
t 40% of the redshift range in which the lens is expected. In that range, t
here is only one known metal-line absorption system, an Mg II absorber at z
= 1.1349. We consider the possibility that this system is the lensing gala
xy and discuss the implied parameters of the galaxy.