  We show how to write any Kaehler metric of complex dimension 2 admitting a
holomorphic isometry as a simple 1-real-function deformation of a
Gibbons-Hawking metric. Hyper-Kaehler metrics with a tri-holomorphic isometry
(Gibbons-Hawking metrics) or with a mono-holomorphic isometry are recovered for
particular values of the additional function. The new general metric can be
used as an Ansatz in several interesting physical problems.
