Hi Nana S,
We understand you're using the article Use the People album in Photos on your iPhone, iPad, or iPod touch to assign a name to the People album. We're happy to help.
To start, we'd suggest providing more detail about the issue you're having. You posted a screenshot of the instructions in the article, but not one of what you're actually seeing. You said the instructions "does not reflect/ correspond with what’s appearing on my phone". So what is it you're seeing on your phone when trying to assign a name to the People album?
This information will help the community to better understand what you're seeing on your device so members can provide more relevant responses.
In the meantime, here's some further info on using the People album in Photos that may help: Find people in Photos on iPhone
We look forward to your reply. Cheers!