Hi Ruthann,

Sometimes it happens that the host is making branches so called wild branches "suckers" if I was you I would take them off because in time they might outgrow the grafted branch and there will be less energy for that. You can always try to root the wild barnches to find out what kind the host is? I couldn't keep myself from trying I'm too curious. It will probably be easy to root since it's used as a host. Are the grafted branches active and have leaves?

Soren

Yes they are active with leaves. More than the grafted part. ruthann

Ruthann, you should definitely cut off any branches stemming from the host. You will want all of the energy going into healing, sealing and growing of the grafted portion. Seedling stock is usually ultimately inferior(the flowers it will produce) in comparison to portion of growth that the graft will produce.
I fully understand the curiousity Soren speaks of however! I like taking the tops of the seedlings that are used for grafting and rooting them. Just gotta know how they turn out! Good Luck
Karen R