Limit street used to continue straight to the west rather than curve north to miss the RR.
http://bridgehunter.com/ks/leavenworth/bh54987/
I have walked the area in summer and didn't see where the road went under the RR grade but foliage can hide things.
Certainly not the same bridge type listed here, but this beautiful double arch most likely same bridge....locations identical
Hard to say if this one still exists. There's one thought, which says if it did, someone would have noticed it by now. Then again, it's extremely overgrown. I doubt it's any less than partially filled in if it does still exist however.
Attached aerial imagery screencap from HistoricAerials shows the bridge over Limit Street to be separate from the creek b ridge.