Got these both for $5, thinking that one might be fake. No idea where to go from what I could gather. 19mm and 4.4g. Pegasus and COR on reverse, and blank obverse. Fake? Corinth? No casting seam. 15mm and 2.2g. Apollo obverse? Wheat ear reverse?
The reverse of the second coin reminds me of another coin posted just recently with three grain ears. Sorry. That's the best I have to offer.
The frist is, I think (but unsure due to extreme wear) a Caligula of Coninth: https://www.acsearch.info/search.html?id=3262161 The other will take more time to track down. You might search "grain ear head left" but it will give you thousands of hits.
I did some more looking, and I think it more-closely matches the second and third one here. http://coinproject.com/search_city_result.php?city=Corinth®ion=CORINTH&type=5
Hard to say, unless you can get a die match, which you may be able to do since Pegasus is pretty clear. The lettering on the issues is very distinct. Also, its possible the same dies were used for both emperors.