  The Magellanic Stream might have grown out of tidal interactions at high
redshift, when the young galaxies were close together, rather than from later
interactions among the Magellanic Clouds and Milky Way. This is illustrated in
solutions for the orbits of Local Group galaxies under the cosmological
condition of growing peculiar velocities at high redshift. Massless test
particles initially near and moving with the Large Magellanic Cloud in these
solutions end up with distributions in angular position and redshift similar to
the Magellanic Stream, though with the usual overly prominent leading component
that the Milky Way corona might have suppressed. Another possible example of
the effect of conditions at high redshift is a model primeval stream around the
Local Group galaxy NGC 6822. Depending on the solution for Local Group dynamics
this primeval stream can end up with position angle similar to the HI around
this galaxy, and a redshift gradient in the observed direction. The gradient is
much smaller than observed, but might have been increased by dissipative
contraction. Presented also is an even more speculative illustration of the
possible effect of initial conditions, primeval stellar streams around M31.
