Regional Interior Ministry officials say the body was found Friday outside of Enginoi, a village northwest of the capital Grozny.
Police say the woman, aged roughly 25, was shot in the head, doused with a flammable liquid and torched.
Officials aren't saying whether the killing was connected to that of six other women between the ages of 25 and 35 found shot in the head and chest earlier this week. Five were Chechens.
A Kalashnikov assault rifle had been used in several of the killings, RIA-Novosti reported.
Rights groups say the women may have been victims of honor killings -- killings by relatives who disapprove of their lifestyles or conduct.
AP, MT
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