Usually when people consider Times New Roman alternatives for Linux they talk about Tinos (from Ascender Corp and licensed to ChromeOS), Liberation Serif (from Red Hat and used by LibreOffice), and FreeSerif (from GNU).
I can't remember if I'd come across Linux Libertine before, but now I'll definitely check it out in more depth now. I like the look of it!
I use Bookerly for my ebooks too :) Or sometimes Vollkorn.