  The paper advances the suggestion by Odake and Sasaki to re-write
eigenfunctions of rationally deformed Morse potentials in terms of Wronskians
of Laguerre polynomials in the reciprocal argument. It is shown that the
constructed quasi-rational seed solutions of the Schrodinger equation with the
Morse potential are formed by generalized Bessel polynomials with
degree-independent indexes. As a new achievement we can point to the
construction of the Darboux-Crum net of isospectral rational potentials using
Wronskians of generalized Bessel polynomials with no positive zeros. It was
then proved that any solvable rational Darboux-Crum transform of the Morse
potential can be re-expressed in terms of Wronskians of the latter polynomials
accompanied by juxtaposed pairs of Romanovski-Bessel polynomials.
