I have heard that there was a popular anthem in Russia from before the revolution called "Lord Save the People", but I have not been able to find much out about it. Does anyone know if there are modern recordings or extant sheet music?
It may be this one. Although it doesn't seem to be a anthem, but rather a chant of sorts. The official anthem of pre-revolution Russia (Russian Empire) was "Lord save the Tzar" (Боже, Царя храни!). I'm not sure if there was something before that.
Here is the list of all know Russian anthems, including the early unofficial one and the short living ones between the empire and the USSR.