According to his son, Billy, William Gorman was born in Ireland about 1775. He is my 4th great grandfather, but I'm descended through Billy's sister, Mary (Gorman) Alexander. William married Jane Henderson in Mason County, Kentucky, in 1792, and died in Greenup, Kentucky, in 1822. He and Jane had several children.
Worldwide web websites say that many Gormans, O'Gormans, and MacGormans at one time lived in County Clare, Munster, Ireland, but I've not any idea if that was the part of Ireland from whence he came. It's a likely starting place. I don't have any idea how he relates to the O'Gormans and O'Kanes of Ontario, Canada, nor how he relates to the Gormans who were shipped to Australia.