I'm not sure what type of vine it is or how to kill it.

See picture in link:

http://207.69.19.31/vine.jpg

Any ideas ?

It's hard to tell from the picture but it looks sorta like a hop vine. Does
the flower produce a sort of cone?

They can be a pain-in-the-butt, grow fast in warm climates, and have a very
pungent odor.

Good luck,
Laura B.