I thought this game up based on the others you find here
Start out with any name: Clara
then the next person follows up with the last letter of that name: Amanda
It can be a proper name from any language, old or new (as long as it's not invented) taken from historical figures, surnames used as names (since that's a thing), biblical, from literature, mythological, countries or continents typically used for people (like America, Jordan) etc
Here it goes:
Beatrice
Have fun!