Thanks
Under EXIF data, it shows Date Time Digitized and Date Time, but those just seem to reflect when the videos were imported. They don't show when the video was originally shot (which I can find using Photos, but not Lightroom). Any ideas on how I can find that data using LR?
LR often has problems with video capture times and can behave inconsistently. To see if you're encountering this bug, use the View > View Options command to show the capture time under thumbnails in Library grid view. Then check the time under the thumbnail with the capture time shown in the Metadata panel:

If they don't match, you've tripped over the bug. See this post for a workaround; Lightroom: Still inconsistent capture date/time for photos and videos | Photoshop Family Customer Community . Please add your me-too vote to that bug report to make it a little more likely Adobe might fix the bug sometime before the next ice age.