Does Google have a record of my fingerprints from the Android devices? My phone has a fingerprint scanner. I notice on the Google Play Store, it has the option to verify your identity with a fingerprint scan instead of typing in the password when making a purchase.

Does this mean Google has a record of your fingerprints? When is this record made, when you first enable the screen lock with your fingerprint?
No, your fingerprint data never leaves your device.


  Your fingerprint data is stored securely and never leaves your Pixel or Nexus phone. Your fingerprint data isn't shared with Google or any apps on your device. Apps are notified only whether your fingerprint was verified.


Source

Source is from Nexus/Pixel support pages hence why it mentions them specifically. The same should apply for other devices however)