Build a simple query and relationship table
A good starting place is to research database normalization. It explains some concepts on how to best structure tables.

More specifically, I'd name the tables "Song" (singular is often preferred) and "Artist" (probably a more central concept than a twitter account). A song would then have an ArtistID which refers to the Artist table. To get the twitter account for an artist you only need to look at the Artist table, you don't need to look at the Song table at all, e.g.:

select TwitterHandle
from Artist
where ArtistName='Beatle';