Hi ChrisBrod,
Thanks for reaching out to Apple Support Communities. It sounds like you're having an issue with the song title showing the incorrect information on your Music app. We're happy to help.
To clarify, are these songs downloaded from the iTunes Store or imported content synced to your iPhone using iTunes? If it's the latter, we'd recommend checking the song data is correct when viewed in iTunes. If needed, the guide here can help: Change song and CD information in iTunes on PC. If you sync using a Mac, the steps can be found here: Change song and CD information in Music on Mac
If the issue remains, test re-importing the content and syncing your iPhone to test. Next, test a force close of the Music app on your iPhone and restart. You can view those steps below, if needed.
How to force an app to close on your iPhone, iPad, or iPod touch
Restart your iPhone
We hope the information helps. Reach out if there's anything else we can assist with, or you have any trouble locating the data for the songs when viewed on your computer.
Cheers!