Inserting a cnavas tag into an existing canvas tag

I am trying to design a page for mobile devices. The page needs to play video. I have an HTML5 video tag that is injected into an HTML5 canvas tag. That part was easy.

What I am having trouble doing is placing more, smaller canvas tags are specific locations inside the canvas tag that has the video in it. Is it possible to inject more canvas tags into the initial canvas tag using Javascript?

Thanks in advance.
Joe.