A new finite lattice calculation of the low lying bound state energies in t
he massive Schwinger model is presented, using a Hamiltonian lattice formul
ation. The results are compared with recent analytic series calculations in
the low mass limit, and with a new higher order non-relativistic series wh
ich we calculate for the high mass limit. The results are generally in good
agreement with these series predictions, and also with recent calculations
by light cone and related techniques.