Hi there and
to the forums!
If your little girl Peter is head bobbing and nothing else, then it's not a cause for concern. Budgies have very silly ways to play and bob their heads; moving their heads around side to side and up and down (so, in a circular motion) is perfectly normal. Most likely she is just very excited
Since she's not showing any signs of illness, I don't think you have anything to worry about.
She sounds like an absolutely adorable little girl! We'd love to meet her when you get a chance!
Meanwhile, you've come to a great place to learn even more about budgies!
Be sure to read through the forum's many Budgie Articles and "stickies" (threads "stuck" to the top of each subform for easy reference) to ensure you're up to date on all the best practices for budgie care!
If you have any questions after reading through everything, be sure to ask as we'd love to help
We look forward to seeing you and Peter around the forums!