Hi,
It's pretty late (more than 1 1/2 years, to be precise...), but I think I can solve the riddle:
Here is a drawing of the Lansdowne's engine.
And this drawing shows what you've been asking, and what none of the prototype photographs shows:
There IS an eccentric on the paddleshaft indeed, a fairly large one, and a big, wrought-iron braced eccentric rod.
So why doesn't it show on the pictures?
If you look at the drawing precisely, the engine is shown from the backside. Look at the order of pitman and airpump lever, for example. And there is some kind of wall on the drawing, partially cut away to expose the crosshead.
And the eccentric rod is in front of that wall, which means that on the photographs it is hidden behind the wall. That's all.
Or might, what I've marked on the second picture, even be a glimpse of the upper parts of the eccentric rod?
Moritz