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This picture hopefully will illustrate the most common misconception of "rusted solid" machines.
MOST machines are actually rusted in place, rather than rusted solid. Meaning that they have a coating of rust that has formed on the surface which actually bonds the two components which were intended to move. The good news is the same rust also protects the internal contact surfaces. Because most older machines were so well made with very tight tolerances, there is not much room for moisture to penetrate, and the tiny gaps are easy to "rust shut".
What most of my machines need is this "bond" removed so that the parts are free and so that lube can get into the areas needed. One of the most common things folks do is just add oil to the pile of rust. It will work in many cases, but it is best if you can oil it and then using something softer than the metal (toothpick is my fav) try to clean out the oil holes and pick at the rust at the seams where things are supposed to move so it can get out of the way and allow the lube to get in.