@jepyang @sewing I know nothing about antique sewing machines but I found these relevant links which look like a match:
https://www.collectorsweekly.com/stories/195710-old-singer-sewing-machine
https://hudsonwoodworking.com/before-after-pics/1879-singer-sewing-machine-restoration_edited-800x417/
The last commenter on the first link appears to know what they're talking about, it does look like a Singer 9W (1905-1912)