Happen to have a 1996 FAI Yearbook which makes reference to it in a piece called "Major Soccer Events of 1995". It says that on February 4th "Kilkenny sacked manager Paddy Gallagher after 18 consecutive defeats". It then says that on February 19th "Kilkenny City got first point of Division One by drawing 0-0 with Drogheda United".
So the question is whether Kilkenny played any league game between those two dates. If they did, the figure would probably be 19 and if they didn't it would stay on 18.
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