It is well-known that any $4$-dimensional hyper\kahl/ metric with two
commuting Killing fields may be obtained explicitly, via the Gibbons-Hawking
Ansatz, from a harmonic function invariant under a Killing field on $\R^3$.
In this paper, we find all selfdual Einstein metrics of nonzero scalar
curvature with two commuting Killing fields. They are given explicitly in
terms of a local eigenfunction of the Laplacian on the hyperbolic plane. We
discuss the relation of this construction to a class of selfdual spaces found
by Joyce, and some Einstein-Weyl spaces found by Ward, and then show that
certain `multipole' hyperbolic eigenfunctions yield explicit formulae for the
quaternion-\kahl/ quotients of $\HP{m-1}$ by an $(m-2)$-torus studied by
Galicki and Lawson. As a consequence we are able to place the well-known
cohomogeneity one metrics, the quaternion-\kahl/ quotients of $\HP{2}$ (and
noncompact analogues), and the more recently studied selfdual Einstein
Hermitian metrics in a unified framework, and give new complete examples.