  Within an effective hadronic model including electromagnetic interactions via
a U$_{\rm em}$(1) gauge, we reinvestigate photon Bremsstrahlung from a hot
hadronic gas as expected to be formed in relativistic heavy-ion collisions at
SPS energies. We calculate photon emission from the reactions
$\pi\pi\to\pi\pi\gamma$ and $\pi K \to\pi K\gamma$ by an explicit (numerical)
evaluation of the multi-dimensional phase space integral. This, in particular,
allows to avoid the commonly employed soft photon approximation (SPA), as well
as to incorporate final-state thermal enhancement factors. % during the
hadronic stage of the fireball. Both improvements are shown to result in an
appreciable increase of the photon production rate over previous hadronic
calculations. Upon convolution over a thermal fireball we find an improvement
in the description of recent low transverse-momentum WA98 data at SPS. The
influence of both Landau-Pomeranchuk-Migdal and in-medium effects on "$\sigma$"
and $\rho$-meson exchanges are briefly discussed.
