Eames?  

How funny! It does appear tha...
How funny! It does appear that the table was inspired by George Nelson. This is a Nelson below. The waste can, I would assume, is also simply inspired by the Eameses. Probably a custom job done for them.

Hmmm
This was tucked away next two a large, extremely large tandem bench. The table is part of a pair and a few months ago someone in Hollywood was selling the same item, yet, I have not seen another like it.
There were plenty of Eames items for the taking some with labels others with no labels but clearly identifiable.
Additionally, I have observed photographs of the Nelson table with three different types of lowering knobs. Were there design changes?
Lastly, Here is the EDU unit with the same pattern and from my early experience in collecting I would not be suprised that a trash can was offered with their EDU product. It makes sense...

Isn't this stuff found at WB
prop furniture? Maybe the waste paper basket made an appearance on an episode of "Friends" or "Frasier".

Lenox, compare the corners of the tray
on your WB piece to the real thing below. There is a big difference.

Table
The tubing diameter does not look the same either.
Does it have "shock mounts"?

I can clearly see the difference
Also there are shock mounts underneathe. I believe three.... I am not keeping the tray, in that, my wife is not that excited about it. The trash can may be the exception since everyone could use a good plywood eames designed one,lol. I will post additional side views as well. Blessings

Design changes
Lenox - Yes, there have been multiple variations of the Nelson Tray Table.
When it was first introduced by Herman Miller in 1949 or so, the table came in two versions: fixed-height with a U-shaped support for the tray, and adjustable-height with a T-shaped support. The adjustment knob for the adjustable-height table was round and on the front side.
Herman Miller reissued the adjustable-height version ten years ago, with the same T-shaped support and round set-screw knob. Vitra produced one, too, but with a coaxial adjustment collar and a U-shaped support -- that's the one pictured above in Whitespike's and the_beloved's photos.
Recent Chinese knockoffs also have the coaxial collar and the U-shaped support.
Herman Miller only produced the reissued table for a couple years, but I think Vitra still makes theirs.
Your Warner-Brothers version -- smaller, it seems, with a differently-shaped tray and a winged adjustment screw on the BACK side -- is different from all the Herman Miller and Vitra tables. I have no idea who made it.

Herman Miller Original Adjustable Tray Table
enjoyed the conversations about the tray tables. from the info provided i gather we have an original adjustable tray table. possibly a really early version as the shock mounts are rounds of plywood, not rubber. any other info on this version available or were the plywood rounds normal for the early tables?

As far as I know, all early tables had plywood mounts.
Here's one from c. 1955, a half-dozen years into the original production run: