Locate the photos (the folder that they are in) on that external drive. Or search by name/kind:image/file extension. Double-click. Does that not work?
For (local) photos from the Photos app, those are a bit special, as they’re in a managed database. The image name is different from the filename in the Photos Library.photoslibrary ‘package’. The photos in the library get randomized Finder names like BAE2491A-44FF-44C1-8968-171DD3C88C91.jpeg. Those really shouldn’t be moved/edited/managed from outside the Photos app, as that would mess up the database.
For photos in your iCloud Photos library, those would not be in the backup, at least not in full res. There may be low res cached versions.
Time Machine itself is a managed database, with timestamp folders per backup, and loads of aliases — not intended to be manually browsed for photos per se. Don’t change anything; treat it as read-only for anything but Time Machine itself. The Preview app can easily overwrite with changes (without manual saving), so that would be a dangerous tool for this.