1910 census
There is no Theodore or Ted Stoyle. There is an Edward Stoyle in Manhattan, NY, NY [age 46, boarder, single, b. England, carpenter, automobile]. The only other Edward Stoyle is a young child.
There are 147 Theodore or Ted Lees, unfortunately.
The picture might help to narrow down the region of the country.
Stoyle isn't a very common surname. There are Stoyles listed in:
Dunkirk, Chautauqua, NY
Philadelphia, PA
Seattle, WA
Salt Lick, Perry, Ohio
Huntington, Suffolk, NY
Buena Vista, VA
Opelousas, Landry, LA
Pinedale, Navajo, AZ
Burlington, Des Moines, Iowa
Stoughton, Norfolk, MA
Mt Vernon, Knox, Ohio
Attleborough, Bristol, MA
Clarksburg, Harrison, WV
Portage, Houghton, Michigan
Manhattan, NY, NY
Union, Allegheny, PA
Boston, Suffolk, MA
Mt Vernon, Westchester, NY
Edgerton, Hanson, South Dakota
Mayfield, Grand Traverse, Michigan
Buffalo, Erie, New York
Sadorus, Champaign, Illinois
Swan Creek, Fulton, Ohio
College, Knox, Ohio
Justice Precinct 3, Knox, Texas
Sidney, Cheyenne, Nebraska
Moscow, Muscatine, Iowa
Decorah, Winneshiek, Iowa
Saugerties, Ulster, New York
Everett, Snohomish, Washington
Burlington, Des Moines, Iowa
Pocotaligo, Madison, Georgia
Reading, Adams, Pennsylvania
Douglasville, Douglas, Georgia
edited to add: Sorry, I missed one Edward Stoyle, but he was a farmer.