Did Smetana ever write any piano pieces?
Sounds like Baroque concerto / concerto grosso in E minor arranged for four hands, if that helps.
Here's a more useful link:https://youtu.be/uYaPF5wZNEo?t=1h34s
Still don't know what it is.... So, maybe there is someone now who knows it?
Have you compared the recording to the anonymous sonata listing posted on imslp.org? https://imslp.org/index.php?title=Category:Anonymous&pagefrom=Pavane+0018+a+0006~~anonymous%0APavane+18+%C3%A0+6+%28Anonymous%29#mw-pages
This is a Beethoven piece, BAGATELLE: Fur Elise WoO 59It is a very popular piece of music for piano students to learn how to play but it is difficult to achieve a good standard of performance. You can download the pianostreet instructive score on this website.Hope that helps.
I've read your question and I am pretty sure I've got the answer. How I find my answer. I opended up siri and ask "what is this song?", and suprisingly it got it. The name of the song is Charlie Mac - Honky TonkYoutube: If this helped you please reply me. Thanks