What has changed? Did you upgrade the system on your iPhone?
On iOS 11 you add more people to the people album like this: http://help.apple.com/iphone/11/#/iph9c7ee918c
Add more people. On a photo of someone you want to add, swipe up to see a thumbnail of that person (below People). Tap the thumbnail, tap Add Name, then enter the name, or tap it in the list if you see it (names in the list are from your Contacts app). Tap Next, then tap Done.