Maybe you're related to my favorite light lyric tenor!
I hate when people allow ivy to grow up the sides of the house. I had to remove ivy that grew into a window opening. It started to split the frame and allowed water to enter. Maybe try a wire brush attached to an angle grinder. My grandfather's last name was Wunderlich.
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I've not personally dealt with ivy but about 50 years ago i saw a old down town 2 story brick department store get the paint removed by sandblasting to restore back to its natural beauty. It's still beautiful today.
Your part of this endeavor may only be to kill the ivy, roots and all, then deciding if sandblasting is for you as a DIY'er. I've done some small scale blasting and i can say with certainty, it's not pleasant so that's a job for commercial equipment in my estimation..
You are on the right track using paint remover.
Look at this product: Back to Nature Tough to Strip it is high dollor but a very good product.