On the Dressmaker, you can remove enough screws to get at the internal parts without doing any damage. Oil everything that looks like it might move except if it looks like it takes grease instead. I have to stand my 301 on end and oil the big bar inside while it's sewing to stop a certain groan. It's quite a trick. I bet a White manual from a similar model would have an oiling diagram.
White is not a Japanese company, but a very old, very well respected American company.