ECRYPT Salsa20 Test Vectors Interpretation
Your "different wrong result" (based on a littleendian counter) appears to be the correct second 64-byte sequence.  The test vector shows "stream[192..255] = ", which is the fourth 64-byte sequence.  The test vector is generated by calling "the Salsa20 encryption function" (Section 10 of the spec) on 512 zero bytes using the indicated key and IV.