dogagenc, thanks for your reply and link.
I’m working on adding that.
In the meantime, can a video from YouTube, be played on a web page with third party player, like mediaelement, without showing the YouTube brand?
This is against their TOS. If you want to remove the YouTube brand, then store the files as video files on your own server and use html5.
The following commercial uses are permitted provided that You comply with all other terms and conditions of this Agreement:
the placement of Your own branding on the API Client, provided that it does not interfere with YouTube audiovisual content playback or with any YouTube branding;