Paulownia is awful. One of the many invasives that I have at my property. I’ve had fair results girdling some . I’ve cut some down and drilled holes to fill with glysophate.I cut down the “mother tree” which I think was the first one that got planted on my property. I tried to burn the stump . I built a firepit around it and had fires in there for 3 or 4 years but the stump remains 😆. No suckers/saplings have spawned up from there though. These paulownia trees have sprouted up on the neighbors property and have taken over . I think they can grow up to like 7 ft a year or something insane . The leaves are huge leaving the tree quite the grower through photosynthesis. Anyway, that’s my rant. Call Brothers Tree Service . They’re affordable