iTunes Songs Hiding on iPhone

[Average Pro]

I recently discovered there are songs on my iPhone that I have not downloaded (or had downloaded in the past). When I go to Library (on the iPhone) I can see the song is not downloaded. However, when I select Songs followed by Shuffle, there's approximately 5 songs that play in the rotation. I want to remove them from the rotation. Note: I am not connected to wifi when the songs play. And I have Music (under Cellular) turned off.

Any ideas on how to locate where these rogue songs are downloaded onto my iPhone?

iPhone 13 Pro
Ver: 15.6.1

 

[clueless88]

When you touch the ellipsis (…) to the right of the song there should be a drop down menu that should give you options that may help you remove the songs or delete them from playlist.

 

[Average Pro]

For a song, that has not been downloaded, the (...) provides the options of Delete from Library and directly below, Download.

For a downloaded sone, the (...) provides the option to Remove.

 

[MarkC426]

There should also be Add to a Playlist.
Does this show remove from playlist.

I think by using shuffle it randomly selects songs.

 

[Average Pro]

There should also be Add to a Playlist.
Does this show remove from playlist.

I think by using shuffle it randomly selects songs.

Yes there are additional options, such as Add to a Playlist, but I did not list them all as they are not relevant.