  We introduce the edge Schur functions $E^{\lambda}$ that are defined as a
generating series over edge labeled tableaux. We formulate $E^{\lambda}$ as the
partition function for a solvable lattice model, which we use to show they are
symmetric polynomials and derive a Cauchy-type identity with factorial Schur
polynomials. Finally, we give a crystal structure on edge labeled tableau to
give a positive Schur polynomial expansion of $E^{\lambda}$ and show it
intertwines with an uncrowding algorithm.
