I believe the second machine in the pictures is a US Machine Tools #1 horizontal mill. They were built through the 1940's and were very popular in Defense Department plants throughout WWII. US Machine Tools was later bought out by Burke. The early Burke #1 was almost identical.
The lever on the left side of the table is the X axis handle. They were used in production to make small parts so the table had to be able to move quickly in either direction. There is a similar handle to raise and lower the milling head to accommodate taller parts.
My machine is an earlier version that uses a crank handle for raising and lowering the table, and a wood handle lever arm for the X axis rather than the hand wheels. It isn't as pretty as the one in the picture, but it still owns its keep. It was originally purchased for a machine shop at the company I worked for. When it was retired one of the engineers bought it for his violin and cello making business. I bought it about 20 years ago from his son.
View attachment 273889View attachment 273890