I read it that the machine is a Singer, so the "two tier" is not the name but description. I agree, that would probably be a patcher.
However we've seen so many sellers that refer to a sewing machine as a "Singer" no matter what name is on it.
I saw an add - it shows a Davis made VS machine - badged "unique" seller went on and on about how rare it was and that they couldn't find anything out about it - so it must have been a small, unknown company that made it (of courses, that means it's work $$$)
I sent them an email, but they never changed the add - was still for sale last I looked.
I don't have any pictures of my patcher on the stand to share, and it's out in the shed right now.