Your family story sounds just like one of our Ydna MOODY families from Co. Londonderry to PA as well.
We actually have 2 confirmed Ydna Moody cousins whose families came from the Ulster provinces of Nor. Ire. to Pennsylvania...one Thomas MOODY b.c1710 in/of Aghadowey, Co. L'derry, Ire who married Jean McQUISTON, and then a Samuel MOODY who was also a linen weaver who came to Pittsburgh, PA (might have been Philadelphia) a bit later than Thomas did (Thomas and family came around c1735) and I believe Samuel came c1790 or very early 1800's.
I have been trying to make a link between these MOODY's and a John MOODY who owned a Bleach Green in Co. Londonderry, Ire. for quite a while now.
He was married at least twice that I know of, with 1st wife he had a son William and with 2nd wife who was a widow named Mrs. KENNEDY whose maiden name was Perkinson or Parkinson or something like that, they had son Robert and daughter Esther or Ellen MOODY.
Half brothers William and Robert Moody came to PA c1816 and lived with relatives there for a while but when they came over to America they brought with them also fine mens linen shirts to sell. Probably made from their own family too.
My own Moody family ended up in Maine and some of them married into the ORR family there. ORR's Island in Harpswell, Cumberland Co., Maine was named for them.
I am hoping to one day be able to make a family connection to this "bleach green John MOODY" family whose sons came to PA and our Ydna confirmed two Moody cousins families who also came to PA. I have a strong gut feeling that all of these Moody's are connected somehow but without further ydna results at present, cannot prove it.
Due to the similarities in locations, occupations and name connections in Ireland, PA and mine in Maine, I wanted to share this just in case you had come across any Moody's in your family tree that sounded like they might link to any of these.
Thank You or anyone else who might link to these lines for any help at all.