They are very easy to root that way. In fact, every year a windstorm, etc., forces me to do the same. If the broken stem is too long, I make several cuttings about 6" each.

Thank you greenthumbgardener! I didn't receive a f/u posting too soon, so I left the stems in the water, added some Miraclegrow food, and voila! Little roots are-a-growin'!!! I'm so glad that they survived and now I can add two more to my little garden. Thank God for small favors...