Oh, I see, sorry about that. I had actually never tested the game on mobile before (the game will probably look and work best on a computer). That said, I just tried it out on my phone (I have an iphone and was using google chrome) and it worked all right for me.
My guess is that it's not allowing you to scroll down after entering your first name. You should see an option below the letters to select either "clear" or "done" but it looks like those options aren't showing up on your device. Not sure why tho.
Thanks all the same for playing it and showing some interest in it. Definitely let me know if you're able to get it working.