You're right, Peter, it would really be good to check some old Austro-Hungarian (maybe even some "Laško") special map of that area? Also ask at the TNP Information Center in Log. A lot would be clearer then ...
On the map of that area (Trenta, 1:25000) I noticed something interesting, that as many as three peaks around (Ozebniška) Planja claim the adjective big (Vršovec, Konj, Glava), of the expected paired peaks with small I find only Vršovec on the map. Then I jumped to check Tuma's Nomenclature of JA. And look, he also mentions only both Vršovci, between them the gully Kloma (he writes Klama), which should be translation for sl. ozebnik, and that should thus also give name to the highest peak above its upper end - Zadnjiški Ozebnik. Tuma at the same place (under 9th group) mentions Konj (without big or small adjectives), but under its ridge also Konjske Police ...
I added the M&M reference only because I know Marko usually bothered in case of doubt to find out which peak is the "real" named peak. From first hand I know the famous M&M played with GPS on Lemež in 2002 (don't know if they had the device with them on V. Konj) and so the advantage of today's technology is indisputable!
Peter, somewhat more chance than meeting in mountains is meeting by the barrel, as Juš says. But hope for both remains, of course!

Good luck!
