The lady next door found the name of the plant. It is called, Greater Celandine and is part of the poppy family. There is also a Lesser Celandine that is part of the Buttercup family, but that is not the plant she said cures warts. She even believes that when you use the sap of the Greater Celandine, it induces some sort of resistance in your body so that no more warts grow. It could be coincidence, but that was her experience, because she used it on her daughter and her daughter never had any more warts since then.
See https://www.google.com/search?q=celandine+plant&tbm=isch&source=iu&ictx=1&fir=aVYAhva_7u1wgM%253A%252Cik6uph4dH1wkqM%252C%252Fm%252F05pdxb&vet=1&usg=AI4_-kSx_gjh8o6gotGozACTjQ61pXJ7Dg&sa=X&ved=2ahUKEwi818aD4b7iAhVMHTQIHYWuDc4Q_B0wEnoECAoQBg#imgrc=aVYAhva_7u1wgM: for a picture of the plant she showed me. She even gave me one to plant in my garden.
She has such knowledge, plus it worked for her daughter, so reliable in a way. Thanks for sharing it with me :)