It would seem to me that Jerry Jr. is your grandfather - he was born about 1907, and Jerry Sr. had to be the "Georgini" you refer to (your ggf). Sr. was shown as born in Yugoslavia about 1885, so he was the immigrant. There is a Slovenian given name "Jernej", which was not that common - perhaps this became "Jerry" after arrival in the US.
I have notes of Jerry Sr's family in the following censuses -
1910: 427 Palm St., Pueblo, Colo.
1920: 8000 Marble Av., Cleveland, Ohio
(Both of these census records show that Jerry immigrated to the US in 1902. I have not yet found a passenger list that shows him.)
So the family obviously relocated from Colorado to Ohio between those dates.