At any rate, your grandfather's full name was Homer Milo Piper and he was born on April 20, 1883 (according to his WWI draft card).
If you march backwards through time via census records, you find Homer Milo Piper with his parents, Homer and Evelyn Piper, in Berrien County, Mich., in 1900. Homer was apparently born in New York and Evelyn in Illinois.
If you hop back to the 1880 census looking for the fellow who will become Homer Sr., you find him living at home with his parents, A.D. and Rachel Piper, in Dayton, Newaygo County, Mich. According to this record, Homer and his parents were all born in New York.
Popping back still further to the 1860 census for Alexander D. and Rachel Piper, you find them in Schoolcraft, Kalamazoo Co., Mich., with a bunch of their kids.
Seven-year-old Homer was born in New York, but 3-year-old Ann was born in Michigan, so it appears the move from New York to Michigan occurred circa 1853-1860.
So your Piper line is from New York -- at least as far back as the 1810s -- but I'll leave the rest for you.
You wouldn't want me to have all the fun, would you?