On a slightly different topic, it sucks that Ikea seems to delete the information about discontinued products. They really should keep it online (with manuals, etc).
“Drömminge” is most likely a reference to a place outside of Värnamo in Småland [1]. As a native speaker (although not a linguist), my guess is that the name is derived from “Dröm” (dream), conjugated into “Drömma” (to dream), and then into “Drömminge” which with the “-inge” suffix turns it into a place name: “Place of dreaming”.
Google Translate, when encountering a word it does not know, will just pick something that it vaguely sounds like, or sometimes, make up an entirely new nonsense word.
Do not, under any circumstances, trust Google Translate to give you a reasonable answer.
https://offerup.com/item/detail/33576960
I still have mine, almost 20 years later. It's currently my 4yo's bed.
What really surprised me though is that Ikea apparently has another item called Dromminge. It's a wall lamp that looks like a balloon:
https://www.ikeaddict.com/ikeapedia/en/Product/40330895/ca-e...
Why on earth would they recycle the name? Did they run out of Swedish words? What does it mean?