Allena, start with the fact that the word is not Russian monk (Greek μοναχός - single, single), and general Russian Orthodox priests to marry and had children.
Hence, from their ranks (so to speak?) Could develop patronymic familiiyu: Popov, Protopopov, Dyakonov, Protod'yakonov, Igumnov and monks, yes ... : cool:
And even terms for persons deprived of their clergy (so much the better

), gave the names: Raspopov, Razdyakonov ...
Something we have in the topic
Munch on the other completely ...