I had sent an email to the state conservation people, and got this answer back about the white flowered one.
"The rose with the white bloom is called “Multi-flora Rose”. It is a severe invader problem in Missouri. It invades pastures and spreads easily by the seed by birds and other animals. It is listed as a Noxious Weed in Missouri (see
http://mda.mo.gov/plants/pdf/n... ).
I would suggest not planting or spreading this plant. In fact, it should be killed by spraying. If you cut it off, you will need to treat the stumps with a weed killer or it will sprout back with more stems. "