  We calculate using perturbative calculations and Ward identities the basic
parameters of the Fermi Liquid: the scattering vertex, the Landau interaction
function, the effective mass, specific heat, and physical susceptibilities for
a model of two-dimensional (2D) fermions with a short ranged interaction at
non-zero temperature. The leading temperature dependence of the spin components
of the scattering vertex, the Landau function, and the spin susceptibility is
found to be linear. We find that the standard T=0 relationships for a
Galilean-invariant Fermi Liquid are violated by finite-temperature terms. The
coefficients in the temperature corrections to these relationships involve a
subtle interplay between contributions from small and large ($\sim 2k_F$)
momentum processes. A connection with previous studies of the 2D Fermi-Liquid
parameters is discussed. We conclude that the linear leading temperature
dependence of the parameters is a generic feature of the 2D Fermi Liquid.
