Who is the Murderess?

Three women, Anna, Barbara and Jayne were arrested for the murder of Susan. One of these three were the murderess, one was an accomplice, and one was innocent. Three statements were collected:

A. "Anna was not the accomplice"
B. "Barbara is not the murderess"
C. "Jayne is not innocent"

The following facts are also known:
1. A statement does not concern the woman who gave it.
2. The innocent woman gave at least one statement.
3. Only the innocent woman tells the truth. Which woman is the murderess?

Answer:

The innocent woman gave one or two statements. If she gave one statement, then the other two must be false, but that situation is not possible, because you always come to a discrepancy. So she must have given two statements. Those statements must be A and B (that's the only way it works out), which means that Anna is the murderess.