There is a Richard Baird on the GV at Well Road, Maryborough (Portlaoise) which is quite literally around the corner from the church.
He is a good possibility as her father ~ fingers crossed.
The church record states that she resided in Maryborough, usually when this is the word used it means that she was from the town, as otherwise a townland name would be given.
Again, this ties in with Well Road ~ The New Road as it's VERY originally known as these days.
Funny, I only live down the road from there and the road is being dug up at the moment.
Sorry to ramble, but I hope by doing so it might bring her to life as it were

Tara