Revised analysis of Sigma beam asymmetry for eta photoproduction off the free proton from GRAAL is presented. New analysis reveals a narrow structure near W similar to 1.685 GeV. We describe this structure by the contribution of a narrow resonance with quantum numbers P(11), or P(13), or D(13). Being considered together with the recent observations of a bump-like structure at W similar to 1.68 GeV in the quasi-free 77 photoproduction off the neutron, this result provides an evidence for a narrow (Gamma <= 25 MeV) N*(1685) resonance. Properties of this possible new nucleon state, namely the mass, the narrow width, and the much stronger photocoupling to the neutron, are similar to those predicted for the non-strange member of anti-decuplet of exotic baryons.