Keith and others:
Where I live in Virginia (Gloucester) Star-of-Bethlehem is most definitely an invasive WEED. I am forever digging it our of the daffodil beds. It seems to me it multiplies by the second! LOL
Below is something I found on the internet with its official name!
Ceci
http://www.ppws.vt.edu/scott/weed_id/otgum.htm
Star-of-Bethlehem: Ornithogalum umbellatum
Weed Description: A perennial from a bulb that is often misidentified as a grass or as wild garlic or wild onion. Star-of-Bethlehem has been sold as an ornamental and has escaped to become a weed of landscapes, pastures, hayfields, turfgrass, and lawns. Primarily distributed throughout the northern United States.