Apple Music - signed in with wrong (family member) account

I have an subscription to Apple Music. I am the organizer of a Family, which includes my teenaged daughter.

I haven't paid much attention to this in the past, but when I open my Music app on my personal phone, I am signed in as my daughter. I can't figure out how to change from her to me.

When I look at the Music app in Settings, the only relevant information I see is that Home Sharing shows my AppleID, way down at the bottom.

If I look at Subscriptions in Settings, and go to Apple Music, I see my subscription there. There is no indication as to which account is used, but it's on my phone and my AppleID is assigned to that phone.

FWIW, my subscription had been an individual plan earlier today. I found something that said to change the account in Apple Music I would need to cancel that subsription and then sign up for a new one. I cancelled the individual one, then signed up for a Family plan. The Music app still shows my daughter's AppleID.

When in Apple Music, if I look at the account (top right) and click on Add Funds to Apple ID, it is my (not my daughter's) account that comes up as the target account for the addition of funds.

If I go to the Family in Settings, I see my daughter and I. If I look at Subscriptions in that section, I see Apple Music and see it is "Shared by You".

Having said all of that, why does Apple Music on my phone show as being under my daughter's account? How can that be changed?