I never took Latin and Google is being uncharacteristicly unhelpful. Does ibera mean something to the efect of limit or furthest point?
Follow up question: I often see other names refer to different areas, such as Albania (modern Albania, and Caucasian Albania) and Galicia (Easter Europe and Iberian), Is there a reason to name those areas with similar names?
The Iberian peninsula was named by the Greeks for the Ebro river (Iberos): confusingly they also named the other Iberia, but that is thought to derive from its name in local Georgian-related languages. (And what about the two Georgias?)
Albania in the Balkans is named in the west for the Albanoi people who inhabited the region in Roman times: locals today call it Shqiperia, so they can't be blamed. The other Albania appears a total mystery, presumably another Greek rendition of a local name, now no longer known.
Galicia in Spain is named for the ancient Gallaeci, cousins to the Gauls (who I'd thought were the source of the name); Galicia in Ukraine/Poland is named after the city of Halich, which may be named after Gauls.
I submitted this question awhile ago and only got one reply. You can check it out while you are waiting for a better reply, as I would like one as well.
As a summary it was said it is unclear if there is a link between them, but the etymology site linked in the reply gives some origins of the word.