Gładyś (or Gładysz - they are too distinct surnames but of the same origin) is a name of Slavic origin (gładysz was a handsome guy in Old Polish perhaps a woman too but don't know it for sure) - it's not possible to say if the name was not adopted by some Jewish people in Poland
Only shows to go how much all those little specks and squiggles mean in Polish. If it was indeed Glądys, then it would have derived either from the Old Polish verb ględać (to seek, search, tr to spot) or ględzić (babble, talk boring rubbish).
Interesting for the discussion about the name Gladys and where ist comes from, possibly over Scottish immigrants: "In the 17th century, Poland was described as ‘Scotland’s America’. Contemporaries estimated that 15,000-40,000 Scots were settled in Poland mainly as merchants, peddlers and craftsmen. This mass migration is largely forgotten in modern Scotland, though is remembered still in Poland. The names of the descendants of Scots immigrants are still to be found in Polish phone books, such as Ramzy from Ramsay, or Czarmas from Chalmers. Danzig still has many Scottish street names and villages in the hinterland are named after the Scots - Dzkocja, Skotna Góra, Szotniki or Szoty."
My mothers family is from Człuchów, now Poland. I had a genetic test of my maternal line and I have a lot of genetic cousins in Scotland, Ireland, Wales and England.
My mothers Maiden name was Gladys but she said it was really pronounced Gawdish that's not how it was spelled that's just phonetically. It was probably spelled Gladysz I really don't know. She thought her family was from Krakow but not sure. We were from Scranton Pa where there were quite a few people named Gladys.