All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger.
Ahl As-Sunnah confirm that pious people have Karaamaat (pl. Karaamah) which refers to a supernatural ability which Allah grants to some of his righteous slaves when they need it to achieve a worldly matter or to establish evidence against those who oppose them (in religious matters).
However, there are few important matters to note in this regard:
First: Supernatural abilities are not signs proving someone to be pious and close to Allah. Many of the companions had no Karaamah, while it happened to people who came after them and who were lower than them in the rank of faith. What matters is the piety of the person and his uprightness upon the religion of Allah. This is why Ibn Taymiyyah said: “The greatest Karaamah is to remain upright (upon faith).”
Second: If as Karaamah happens to a person, then there would be no implications to this as far as other people are concerned. People should not exaggerate in the way they deal with the person with a Karaamah or ask him for things which can only be done by Allah. The stories of Karaamaat should not preoccupy the mind of the Muslim, because there is no action that result from knowing the story, whether it is authentic or inauthentic.
Third: Not everything supernatural is considered a praised Karaamah. Some sorcerer or magicians may do supernatural things. Some claim to have a Karaamah while his actions include things that are prohibited, like claiming to possess qualities that only Allah possesses.
The abovementioned rules suffice us from having to respond to the stories you mentioned in your question.
Allah knows best.