I haven't come across an Ann Connell in my family tree yet - just wish I could help you further but Hugh Connell had 7 children i.e. James (1883), Matthew (1984), Matthew (1887), Peter (1892), Margaret (1894), Patrick Joseph (1896) and Bridget (1900).  Hugh's father was a James Connell that's all I know up to now.  Unless James's siblings had an Ann?  
Please let me know if you get any further on it as I havent managed to get any further with my research - quite difficult researching Irish ancestry but I did get further than I originally thought I would.
Kindest regards,
June