Hello Len,
Ann arrived in Sydney on 'Sugar Cane' on 17 September 1793, having left from Cork on 12 April 1793 with 110 male and 50 female convicts on board. She was 'capitally' convicted in County Cavan in 1791 and was sentenced to transportation for life.
I too have been trying to find information in Ireland. The Courthouse in Cavan does not hold records that far back.
Jenny