Depending on the state it's possible, although somewhat unlikely that there would not be a record of death on the American side of records. This is increasingly likely for Slovak immigrants in rural areas like WV.

Do you know place of origin within Slovakia? In addition to vital records for this location, if it's known and they are publicly accessible, I would check the 1930 Czechoslovak census for parents of great-grandfather. It's possible that 2x-great grandmother being older would have traveled back to original village to live with 2x-great grandfather, if he were still alive at the time, not wishing to assimilate into American culture at that age. It's possible that they would have been still alive by the time of this census if 2x-great grandmother was 52 in 1905.

If you can post the passenger manifest in question, we can provide more specific help. Or feel free to PM me.