Hi LV,
Congratulations on your new home!* Unfortunately it sounds like your peppers have phytophthora blight.* It often starts at the soil line, but can start at other places on the stem when a plant gets it and is older.* Take a look at these sites and pics.* Not all the sites have all the info or the best pics and that's why I've included more then one.
http://ohioline.osu.edu/hyg-fact/3000/3116.html
http://plantpathology.tamu.edu/Texla...eppers/ppb.htm
http://vegetablemdonline.ppath.corne...toph.htm#Click
Newt
When weeding, the best way to make sure you are removing a weed and not a valuable plant is to pull on it. If it comes out of the ground easily, it is a valuable plant.