1. Outside the village, Naki is sitting on the ground.

2. Outside the village Naki is sitting on the ground.

3. Outside the village is Naki sitting on the ground.

4. Outside the village, she is sitting on the ground.

5. Outside the village she is sitting on the ground.

6. Outside the village is she sitting on the ground.

(Which ones are grammatical? According to commas, which ones can be grammatical?)

#s 1 and 4 are correct.

See #3 here:
http://grammar.ccc.commnet.edu/grammar/commas.htm