They are treadle operated vibrating shuttle machines with leaf tensioning (I know, not very helpful)....other than that I am going to guess they were manufactured by White, Davis, National, etc. in the later 1800s or early 1900s, and labeled as you see them.
I have a National VB-TT Type 5 which looks a lot like the first one. It is not complicated to operate, the big problem for me was finding a shuttle that fit. I hope they both have shuttles or it complicates it quite a bit as there were only about a thousand different shuttle sizes.
Pictures of the face plates would be helpful.