I don't think you understood the initial post and you are arguing a moot point.
The initiator of this thread posted documented information.
Immigrant Ancestor was from Historic Galicia Province, and there was/is no Galicia/Halyczyna in Chernigov/Chernihiv !!!
As far as your own relatives are concerned, please notice that they were crossed off the ship manifest. That line across their names means they never got on and off the ship. They had tickets, but for some reason they did not board. Unfortunately there is no annotation, so I cannot be more specific. You will have to continue looking for other records for them.
You might want to take a look at following. I used criteria Jewish, surname starting w/letter M, emigrating from sounds like Pryluki Russia:http://www.jewishgen.org/databases/EIDB/engine/gold.php?uid=...