  A study of W+W- events accomanied by hard photon radiation produced in e+e-
collisions at LEP is presented. Events consistent with being two on-shell W
bosons and an isolated photon are selected from 681 pb^-1 of data recorded at
180 GeV < sqrt(s) < 209 GeV. For these data, 187 W+W- candidates are selected
with photon energies greater than 2.5 GeV. The selected events are used to
determine the W+ W- gamma cross section at five values of sqrt(s). The results
are consistent with the Standard Model expectation. These data provide
constraints on the related O(alpha) systematic uncertainties on the measurement
of the W boson mass at LEP. Finally, the data are used to derive 95% C.L. upper
limits on possible anomalous contributions to the W+ W- gamma gamma and W+ W-
Z0 gamma vertices.
