Enigma 345: Talking in circles
From New Scientist #1494, 6th February 1986 [link]
Six girls were sitting equally-spaced around a circular table. Each of them was either honest or consistently told lies.
Anne said: “The person on my left is more honest than me”. None of the other girls would say the same.
Barbara said: “The person on my right is not less honest than me”. None of the other girls was able to say the same.
Christine said that the girl opposite her was of different honesty from her, and Doreen said that the majority of the girls were honest. Eileen said that the people either side of her were honest, and Fiona said that she was between two people of equal honesty.
Fill in the seating plan ticking those who are honest.