  We present the latest results from the use of the Backus-Gilbert method for
reconstructing the spectra of NRQCD bottomonium mesons using anisotropic
FASTSUM ensembles at non-zero temperature. We focus in particular on results
from the $\eta_b$, $\Upsilon$, $\chi_{b1}$ and $h_b$ generated from
Tikhonov-regularized Backus-Gilbert coefficient sets. We extend previous work
on the Laplace shifting theorem as a means of resolution improvement and
present new results from its use. We conclude with a discussion of the
limitations of the improvement routine and elucidate a connection with
Parisi-Lepage statistical scaling.
