A friend is helping to build a playscape, a playground for all ages and abilities that takes advantage of the natural environment‘s restorative qualities.
My husband and I went to see where the playscape is emerging with a boost from the state’s Community Preservation Act. It is located over by Gowing’s Swamp, a lovely wooded area with native plants once cataloged by Thoreau. We walked on a hilly woodland path around the swamp and took note of Canada Mayflowers like tiny bottle brushes and a starlike white flower with six long, narrow leaves growing out from the stem at the same height. (If I’d had my camera, I’d have uploaded a picture at MisterSmartyPlants.com.)
The Sudbury Valley Trustees oversee Gowing’s Swamp, and have this to say about it:
“Gowing’s Swamp, named by Thoreau for its landowner in the mid-1850’s, is an 8.9 acre acidic wetland complex located in a protected, glaciated hollow on the eastern side of a glacial kame known as Revolutionary Ridge. A kettlehole bog, at the southern end of the wetland, contains specialized plant communities that are locally rare in Southern New England. The natural area provides habitat for a diverse range of wildlife.
” ‘Unlike any other bog in New England, Gowing’s Swamp found its way into American literature by virtue of significant passages in Thoreau’s Journal,’ says botanist Ray Angelo, and has been visited and studied regularly over the last 160 years by Concord naturalists, literary and historical scholars, and has been the subject of ongoing scientific studies.” More here.
Photograph of Gowing’s Swamp: Sudbury Valley Trustees
Suzanne's Mom's Blog 
The Community Preservation Act is a great thing. I think the other flower you describe may be the aptly named starflower (Trientalis borealis), which I see in acidic woods around here. Does it look like this? (Although the page mentions sevens, not sixes, with regard to petals.
PS–I love the living teepee structures in the playscape!
Thanks for the starflower picture. What I saw was not, alas, the starflower. I am not sure how many petals I saw. But the leaves are six, and they all grow out horizontally from the exact same point on the stem. Will check my wildflower book.