William & Julia Remington, probably with son William
Julia & William; I don't know who is in the middle -- possibly their daughter-in-law Florence, but this is just a guess.
Notes
She may be the Julia Remington who married George F. Wolcott on 31 Dec 1879 at Meredith or Downsville, NY. The age and location would match. In the 1880 Federal Census, George & Julia Wolcott, ages 26 & 21, are living at Meredith, Delaware Co., NY.
She married William Stringer about 1898.
Julia's age fluctuates in the later censuses, possibly because William was younger than she. According to the 1900 census, she was born in Nov 1863. However, she was born before the 1860 census.