Vectorisation (convert raster map to vector form)

[SumnerH]

One problem is that your map sample is 72 dpi and your image is small, which gives me little to work with in hopes of creating an adequate conversion. I tried it, and to my judgment the process failed. It did vectorize, but the final image was very blurry and jaggy. I'm sure that if you posted a 300 ppi version of your map file closer to its original size, the conversion would have had better results.

This is exactly right. Auto-vectorization is hard even under ideal conditions, and low-res blurry images are almost impossible.

Attached is an SVG with 2 attempts courtesy of Inkscape: the top one is done based on brightness steps, the bottom uses edge detection. Neither is great, in part because of the original image quality.