The black thing there is the motor, and the plate show specs and motor type; the machine serial number is embossed some where in the (presumably) black cast iron body. The black box inside the table I will guess is a a speed controller, likely a knee lever or you might be able to take it out and it's a foot pedal. They were set up with various speed controllers.
Do you see the spool pin at the right on base of the machine in the picture? Right behind it is a flat elongaded part, that's where the serial number is stamped into the cast iron base. Some models have it elsewhere, but it's better to wait until there are any picture.
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