Cleveland - lovely technically-interesting bike. Some serious non-Douglas material, but I think we can we can get away with it. Here's a photo of a Cleveland in Australia, rebadged as a "Regnis Cleveland". Douglas in the middle, and I suppose Williamson on the left. Regnis (Singer spelled backwards) was a Melbourne brand, usually fitted with Swiss MAG twins, but the Cleveland filled a gap in their immediate-post-WW1 range.
Re lever directions: even through the 1920s there was no real convention, with some opening inward and others outwards. In the early 1920s AMAC brought out levers that could be switched from one to the other by taking out the through-bolt and flipping the bits over. Douglas used these on the W20, S1 etc. from 1920-22. Here's my entry for whacky levers: 1909 AMAC on my 1909 Lewis - one of the first AMACs to use cables. The view is looking down the bars. Both are closed at 12 o'clock (sticking up vertically from the bars), and they open in opposite directions (swinging around the bar). Both levers are about quarter-open in the photo. Luckily there is no real power to be accidentally unleashed!!
Leon