Fe(OH)2 + H2O2 --> Fe(OH)-
I think I got the iron right with
2e- + Fe(OH)2 --> Fe(OH)- + OH-
I guess the issue is that I'm having a hard time seeing where the oxidation bit occurs. It seems like the iron is going from +2 to + 0, and the oxygen from - 2 to - 4... two reductions.