First, pick of all the books and seeds, so at least it won't get worse.
Some would say cut it off at course whenever you see it and it will give up. I try to uproot it, and while it usually comes back , it is not for a while.
Some would resort to chemicals.

This some has tried Brush be gone and it barely fazes it,looks a bit ill for a couple of days and bounces right back.

Woody Nightshade/Bittersweet or Solanum dulcamara is the nightshade that is naturalized here in the Northeast US. Dig it up roots and all before it makes berries. It has probably already set berries so even if you dig it up, you might have some seedlings next year to get rid of. I don't do herbicides so I can't suggest anything for you there.

FataMorgana

If there are berries, grow some in a pot. This way you will know what the seedlings look like and you can pull them as you see them...this is what I do with plants that are not too familiar to me. The birds love nightshade fruit and even if you pull the plants before they set seed you'll still have plenty of seedlings (Like I have with buckthorn).

Even mature nightshade plants pull easily with their long wiry roots. If you must use chemical control (and I'm not endorsing that), cut the plant off near ground level and apply round-up to the fresh cut, goes straight to the root and kills it.

Ever so true about the birds! And a good idea about learning your "enemies" as seedlings. I have let plants grow that I didn't know from seedlings just to find out what they turn into.

If you are in the NY State area, Cornell University (in Ithaca) has a large collection of gardens including a crop and weed garden. Might be something for you to check out if you are in the area.

FataMorgana

Here is a link that might be useful: Cornell's Weed and Crop Garden