While future observatories such as the James Webb Space Telescope are likely
to reveal many candidate primordial objects in the high-redshift universe, there has already been detected at least one very bright source at z > 6, in CR7, which may in fact be powered by emission from primordial gas.   This source may be powered by either a large cluster of Population III stars or by accretion onto a black hole formed from the direct collapse of the primordial gas.  I will present new large-scale cosmological radiation hydrodynamics simulations of the growth of such a black hole, which demonstrate that the nebular emission that it powers can explain the extremely high luminosity of CR7 in key emission lines.  I will
also present a scenario in which massive Population III galaxies may form from the rapid collapse of photo-heated gas in the early universe, a scenario which could also potentially explain the emission from CR7 and which is important to consider in evaluating future searches for the first metal-free galaxies.