I have read through a few different posts and articles but I am hoping I can get a little bit more direct help.
My daughter is 10 years old and absolutely loves birds. About 2 years ago we got her a budgie from a pet store. My daughter is very kind, responsible and friendly with her budgie Moonbeam.
Behavior wise the budgie seems very attached to my daughter. Whenever I am near her cage she is guarded and stays back, same with my wife and other daughter. But my 10 year old sits by her cage with the door open and Moonbeam comes right up inches from her face and either tweets quietly or sometimes plays with her hair or glasses.
For about the first year (budgie was still probably < 2 years old) my daughter attempted to stick train her to do "step ups" she gradually moved her hand closer up the stick and then started to do finger "step ups". At some point Budgie started to bite. It doesn't seem aggressive, or angry, maybe playful or even territorial. But it has really stunted my daughters ability to train her and she has withdrawn finger training. She really wants to get into trying again but the birdie seems still to want to byte. I uploaded a Youtube vid, please have a look.
You can see Budgie reaching out and my girl is worried she is going to bite. Oh and my daughter just scolded me because its not a she, its a he...
Moonbeam has trained your daughter to move her hand back when he moves toward it with her beak.
Budgies bite when they don't want their space invaded, when they want to show dominance and when they are scared. In this case, it appears Moonbeam does not have any interest in stepping up and is showing dominance by the "biting" refusal to do so.
Moonbeam should never be forced to step up. Taming and Bonding takes time and patience and one must work at the budgie's pace.
I would suggest taking a step backward with training and go about it a bit differently.
Rather than trying to have Moonbeam step up on your daughter's finger, have your daughter put her hand in Moonbeam's cage, palm up and fingers together.
Offer a bit of seed or millet in the palm.
Keep the hand flat and don't move it toward the budgie.
Let Moonbeam come to the hand and take the seed if/when he is ready.
It may take several tries before Moonbeam is willing to venture onto your daughter's hand.
Moonbeam has to learn that the hand in the cage does not necessarily mean it is going to come toward him, grab him or force him to step up when he does not wish to do so.
I recommend you remove any wooden dowel perches or plastic perches in the cage and replace them with natural wooden perches of varying diameters to help prevent pressure sores.
Excellent advice above . Birds are actually extremely intelligent, complex animals. It’s great that you, (parents) are all in this together. While 10 year olds are old enough to comprehend basics of caring for an animal, it’s always best, and nice to see when adults are overseeing the whole picture, and have a grasp on care and behavior .