If it is a fairy well rooted cutting with more than one cane and there is a little peace of wood with a "eye" that can sprout a new shoot it might survive. If the rootsystem is good, it might also sprout from the root. If it was a very new cutting chances are slim.

You could also take cuttings and root your self. It costs no more than the potting soil and perhaps some rooting hormone, but rooting hormone is not really needed. Does roses in you area do well ownroot? Some roses do very well ownroot even in areas with long and cold winters. Take a cane from your rose of choice that are in full bloom or has just bloomed. The small eyes that are placed where the leafs are joint to the cane are suppose to be a bit swollen but not yet become a new shoot. The theory is that then the cane is full of energy for growth and roots more easily. Cut of the flowers / spent flowers on the top, save two or three pairs of leafs, let there be two or three eyes (where you have taken the leafs of) under the soil and three above. Stick the cane in a pot with ordinary watered potting soil and have a clear plastic bag over it, sort of a mini green house. It is best if the plastic do not touch the leafs too much, and the leafs could be trimmed a bit. Place the pot in a shady place, no direct sun at all is preferable. It works very well in june and july when the temperature is warm both day and night. Not much water is needed because of the plastic bag, but the soil must not dry. After two-three weeks the cutting will show if roots have developed. If is still looks healthy after three weeks chances are good. If the pot is not too big white new roots will stick out at the bottom of the pot.

When you notice roots have formed it is time to adjust the plant to normal air. Cut of a corner of the plastic bag and let it breath a couple of days, then the other corner and then take the whole plastic bag of. When it has grown a bit it can be put in the ground. It is best to protect against the harshest hottest sun at first.

Taking cuttings is very easy, just take a few and don't give up. It is not much work, the pot just stands in a shady spot and the plant does most of the work.

As long as it still has one good cane, it should try to grow another one to replace the lost cane in no time...

Until it's bigger, you might wanna try putting a big boulder or something next to it so the kids know that it's not a pathway there...

Destany, your snapped-off cane might just live. Try leaving it right in the ground and water it every day, and it could root. You just never know what roses will do! I think the original baby could live too. Good luck.

..Oh the first time I read it I didn't get the part with one surviving cane. Then is should live even if it was set back a bit. Give it some composted manure or some liquid organic fertilizer and it should do just fine. When it all ready has started growing new canes the rootsystem is pretty good.

Good luck with your new rose!

* I still recommend taking cuttings :-)

But first, put serious obstacles to protect the original.
As in chair frame, bamboo or oak stockade, list of chores for kids to do.
You have a good chance for the original to survive. A hint for next winter. Abbaye can get damaged by canker in spring, not as bad as its parent Just Joey. Start accumulating well draining mulch and prepare to protect until full blown spring next year.

I put a tomato cage around one of my roses last night to protect it from the wind. I'm guessing it would work just as well as protection from children. The rose should survive as long as it doesn't take any more damage.

Ah, I have hope now! Terrific!!! Thanks for all the suggestions, I'm going out right now to put up a barrier around the rose so clumsy little feet can't step on it again!
Taoseeker, I have taken a few cuttings from my back roses this Spring and have them in 2-liters. I hope it works this time!
Annt, thanks for the heads up about the canker!

My 5 year old son has stepped on Crepuscule and Alberic Barbier bands that I planted this year. The canes seem to be pretty flexible and they are still doing nicely. Like others said, I have tried to give them a bit more of a barrier and made sure he knows where they are. He is still young enough that if I get near them he reminds me !!!