  The microscopic dependence of glassy equilibration on sample history, both
the initial configuration and the specific sequence of random noise, is
examined. The temporal evolution of spin configurations in a two-dimensional
Ising spin glass is simulated using patchwork dynamics, a coarse-grained
heuristic for glassy dynamics, allowing simulations over a wide range of length
scales. Most of the nearest-neighbor spin correlations are independent of the
details of evolution, due to the formation of rigid domains. The correlations
on a fractal set of domain walls are found to be variable and to depend
distinctly on the noise history and the initial state. Correlations in samples
with independent initial configurations are found to persistently differ when
subject to identical noise histories, for coarsening scales of up to hundreds
of lattice units. However, samples with identical initial configurations and
subject to independent noise histories have correlations that converge to each
other as a power law in scale. The initial "nature" of the state is retained in
the domain walls during coarsening under distinct noises ("nurture"), while the
location of the domain walls at each scale is determined by the frozen disorder
("environment"), independent of initial state or noise history. We also provide
evidence that coarsening with local dynamics at finite temperature gives
persistence of overlaps roughly consistent with coarsening at zero temperature.
