Thank you, Kathleen! To contact the cemetery is a good idea, I will definitely do that.
The parents' names were Nils Johannison and Johanna Johansdotter. I was assuming that Eklund was Anna's husband's name, because before she emigrated her last name was Nilsson, but the information that you found says that she was not married so... now I don't know. Perhaps she simply chose to change her name.
Also, this is completely irrelevant really but thank you for finding her address, it was so much fun to see because crazily enough even though I live in Sweden I have actually been right where she lived once or twice. I absolutely love Chicago and usually stay at a hotel just a few blocks from there.