The name "Libya" was used by the Greeks. In Roman times the Western part
of Libya was a part of Africa Proconsularis,
the Eastern part of Cyrene|
However, Roman authors often use the word Libya, and these references are collected
This list is far from complete.
There is not always an 1:1 relation between a place etc. in Roman times and a name in our days.
Sometimes a people giving their name to a place and that place are combined.
Some names are followed by a link to a site with that title
I tried to find suitable sites in English, but did not always succeed.
If you know better sites, please let me know.