The anomalous W W γ coupling is probed through eγ → νW at the ILC. With a spectacular single lepton final state, this process is well suited to study the above coupling. Cross section measurements can probe δκγ to about ±0.004 for a luminosity of 100 fb −1 at 500 GeV center-of-mass energy with unpolarized electron beam. The limits derivable on λγ from the total cross section are comparatively more relaxed. Exploiting the energy-angle double distribution of the secondary muons, kinematic regions sensitive to these couplings are identified. The derivable limit on λγ < 0 could be improved to a few per-mil, focusing on such regions. More importantly, the angular distributions at fixed energy values, and energy distribution at fixed angles present very interesting possibility of distinguishing the case of λγ < 0 and λγ ≥ 0.