I am delighted to report that at least some more of the Wexford Swanson descendants are alive and well, here on Merseyside today. As with Laura (with whom I am in contact) my wife is also descended from James Swanson, b.1854 in Wexford and his son also James, born in Wexford in 1884. They moved to Liverpool about 1890/92 based on the fact their son John was born in Wexford in 1888 and their next child, Sarah was born in Liverpool in 1892.
If only more Census records survived before the 1901 census, I feel sure we'd discover the Wexford Swansons were all part of the same family. As previously stated, the surname was uncommon in Ireland, while not so in Scotland where many families lived. Undoubtedly the name has Scandinavian origins which might not be surprising given the proximity of the Scottish 'highlands and islands' to Scandinavia and their common seafaring traditions.
Anyway, here's a photo of James Swanson (1854) taken in Liverpool about 1930, you never know, someone may see a family likeness(?) He'd have been about 76 in the photo, but lived until 1941 and the grand age of 87!!