Your Google account was signed into the Bark Phone with syncing enabled, which is pulling in your contacts, emails, and calendar events. Here's how to fix it:
On your kid's Bark Phone, open the ⚙ Settings app.
Tap Accounts & Backup.
Tap Manage Accounts.
If you see your own parent/guardian account listed, sign out.
Then sign back in with your child's Gmail: Sign into Google Play Store or Google services