Thanks for the followups. I apologize for not getting back sooner. You have all confirmed they're edible and in fact weeds. I was pretty sure no one planted them. I am definitely not bright when it comes to gardening but I never realized any vegetable could grow like that. My kids enjoy plucking them so I'm not overly concerned about getting rid of them. I don't remember seeing them any place I lived before hmmm.. What an adventure. I'll try the bulbs some day to see how the flavor is. Thanks everyone. I'm sure I'll have more questions. Dion

I do a lot of copra onions (among other types) and do not do them on plastic. The trick is to have 18" between the rows of onions and space the onions about 6" apart. This gives you lots of room to hoe. A wheel hoe is a very nice thing to have as it does around 5x more work with about 1/3rd the effort than a hoe alone Pitterpat, if you are concerned about waste think before using plastic mulch as it lasts just one season and very few places in the US will recycle it which means it goes into the land fill (unless you can figure out what to do with thousands of feet of used, ripped up, dirty thin plastic mulch). I have taken to using landscape fabric for such mulch as it will last at least 5 years. I make holes in that by burning them with a small propane torch

Looks like wild onions to me. Here is what Clemson advises.

The top picture looks like wild onion and the bottom picture looks like Star of Bethlehem to me. Remember there are probably different subspecies of each. Either way its a bulbous plant and recognized as difficult to control. So treat it with an herbicide while its actively growing. In this case, "actively growing" means treat it in late winter and/or early spring. "difficult to control" means treat it with a herbicide then treat it again after two weeks If you do not like herbicides, vinegar is supposed to kill top growth down to the roots. It will grow back so you have to keep treating it with vinegar till it loses all its energy reserves and the root dies. Again, more difficult with a bulbous root plant. Also there are oil based herbicides on the market now that use clover oil and other oils. Though you should read the label to make sure it works on bulbous weeds such as wild onions. Else hand pulling is an option