What little you see of text states that G. W. was the son of Isaac Hatfield Soule (b. NY 1808-1810) and Augusta Ann Bates (b. 1830), who married in 1845. If that is the case, to have been an image of G. W., this photo would date at the very least to 1865, possibly to 1885. It is obvious that it was not made that late, so if it is a Soule photo at all (no guarantees without provenance) it might be of Isaac, a carpenter-joiner. He, not George, would have been of the right age to appear in a picture as old as this one. The 1850 & 1860 censuses find Isaac H. & Augusta Ann Soule in Richmond, Walworth Co, WI. George must have been born in late 1850 to be in the 1860 census but not in the 1850, and may not have been born in NY, as claimed, if the family had already moved.
Findagrave has an entry in Trempeleau Co., WI for Isaac and Augusta, stating that Isaac's parents were Jonathan Soule and Sarah Hatfield.The Soule pink book Part Three (2003) has in family #531 Benjamin Soule and Elizabeth Davis, who had 7 children, including Jonathan b.1761. He married Sarah Hatfield and had 11 children, including son Isaac Hatfield Soule. The book states that Isaac married 1st Sylvia Bates, then 2d Augusta Ann (---). Were the two wives related?
So, if the man in the photo is Isaac Hatfield Soule, he would be a Gen. 7 pilgrim George Soule descendant as follows: Jonathan Soule, Benjamin, Joseph, William, George, George of the Mayflower. Be aware that the pink books (works in progress) are sketchy on the details from Joseph on down so need a lot of help. The 7th edition of Part One (2015) notes that William Soule married Hannah Eaton, "apparently daughter of Benjamin and Sarah (Hoskins) Eaton." Hannah is not in the Eaton silver book (1996) so that must be a new claim, requiring excellent proofs should you submit to the GSMD. If true, Isaac would also be a Gen. 7 Eaton. Check out the photo for yourself.