This piece is one of the collaborative works of Joplin and Hayden, published in 1911, but likely written years before. Another work with similar publication circumstances is kismet rag held on to by John stark for years before finally publishing it in 1913. Both are wonderful top tier rags and I think Felicity is one of the best ones. It also follows a 'A B C intro A' structure different from the normal 'A B A C D.'
Arranged in FamiStudio
0:00 A section
0:48 B section
1:31 C section
2:19 A section