Hi Stephen, I did some poking around in
Flight magazine, and in the April Fool's issue for 1911 there was an article on the 3rd Olympia Intnl Aero Exhbition that had some interesting stuff, including this photo of Ogilvie's "Baby" Wright, which the caption stated was the same as his previous year's aeroplane, except for the new two-stroke NEC:

... In the same issue, a few pages along, it had this picture of the 50 hp NEC two-cycle, which I assume is the same motor they were refering to. Trouble is that it's a four-cylinder vee, whereas you mentioned you were looking for an inline:

... in January 1910 they had an article on a 4-cyl 2-stroke 40 hp that looked to be an inline, but how that fits into the mystery I have no idea. I loved the "electrolytically deposited copper jackets" though, that'd look pretty cool.
I cleaned the downloads up in Photoshop as much as I could, but they're still kind of funky... I think they're better than the ones on that site, though. I downloaded some other stuff on the Wright, there were some detail sketches of the undercarriage and so forth, so it you want those as well send me a PM and I'll upload them to my cloud account.
Hope this helps,
Dutch