Trying to get a walking one year old to stay in one spot is almost impossible. I photographed 2 one year olds in the last couple of weeks. It is probably one of the most difficult ages to capture. You need a sharp fast lens and a few tricks up your sleeve.
I actually got this little guy to stand and then sit in one spot for at least 5 minutes. Mom left the room so he couldn’t see her. One year old’s understand what you tell them, they just don’t usually want to listen to you. The trick with this age is to confuse the heck out of them! Change up your voice tone constantly. Make happy sounds, then sad sounds and just keep doing it. They become so confused that they kind of freeze up.
I got this trick from a photographer’s online course recently and it actually worked with this dude!