Not wishing to dampen your spirits Jasmin, before you get excited about seedlings or new growth close to your TP's, I would recommend you wait till they leaf out to confirm that it is not the Mother plant growing, as some TP's are grafted
It has been my experience that the graft roots have very different foliage so will be easy to spot. Hopefully that is not the case but just incase it is, I would remove the growing tip so it doesn't waste energy to the Mother graft but keep enough so you will recognize the plant to remove when you dig it up in the fall - usually an easy job.
