The Collaborative International Dictionary of English v.0.48:
Bemoil \Be*moil"\, v. t. [Pref. be- + moil, fr. F. mouiller to
wet; but cf. also OE. bimolen to soil, fr. AS. m[=a]l spot:
cf. E. mole.]
To soil or encumber with mire and dirt. [Obs.] --Shak.
[1913 Webster]