Seeking 1800s Barry family in County Wexford

I recently discovered your website and am grateful to have found such a wonderful resource of volunteers.

My 2nd g-grandmother Ellen Barry was born to father Patrick Barry (a farmer) and (unknown) mother in Wexford in about 1831. There are no known siblings. That's all of the Ireland information I have. Ellen emigrated to the small town of Wortley, South Yorkshire, England (date unknown), and married Anthony Handlen, from Cork, in 1852. She was a mother to twelve children, was a shopkeeper, and worked at the town reading room. She was widowed in 1896 and died in Wortley in 1900. Her Find-A-Grave memorial is at https://www.findagrave.com/memorial/214018655/ellen-handlen

My Ancestry and 23andme DNA has been out for four years and has not resulted in any conclusive Irish Barry connections. Being in the US, I have also been unable to correctly identify any Ellen or Patrick Barry family records in Ireland, and welcome any suggestions and/or assistance. My wife and I are in the early stages of planning a 2025 trip to Ireland, my ancestral homeland. Your efforts are greatly appreciated; thank you very much for your time!