We describe the tropical mirror for complex toric surfaces. In particular we
provide an explicit expression for the mirror states and show that they can be
written in enumerative form. Their holomorphic germs give an explicit form of
good section for Landau-Ginzburg-Saito theory. We use an explicit form of
holomorphic germs to derive the divisor relation for tropical Gromov-Witten
invariants. We interpret the deformation of the theory by a point observable as
a blow up of a point on the toric surface. We describe the implication of such
interpretation for the tropical Gromov-Witten invariants.Comment: 42 pages, minor correction