Hello ayat263,
We understand you are asking about the name and photo for your children's Apple ID profile information. You mention that you are seeing it incorrectly. Do they see it correctly on their respective devices?
If they go to Settings > [your name] on their devices, which information shows? Where are you specifically seeing it incorrect on your iPad?
One other thing to check is the Contacts app on their devices. Make sure the information for My Card in their Contacts has the correct information: Add your contact info on iPhone
That information is specific to an iPhone, but would also be similar for an iPad.
Complete My Card
Tap My Card at the top of your contacts list, then tap Edit. Contacts suggests addresses and phone numbers to help you set up My Card.
If there is no My Card, tap +, then enter your information. Next, go to Settings > Contacts > My Info, then tap your name in the contacts list.
Warm regards.