Tabanus: He is hard to find, and more clues would be welcome:
1875: A. Roberts, in Philadelphia Inquirer, 16 Feb 1875 (first mention (that I can find))
1876: <a young Philadelphian ... a most agreeable and amiable adversary and may speedily rise to the first rank among chess players> (The Daily Graphic, 25 Aug 1876)
1876 directory Philadelphia: Albert C., Grocer (his son Albert C. Jr. is not mentioned), and Albert M., jeweller).
1884: <The final entree of today's epicurean chess feast is a 7x5 three move dainty, delicately prepared by Mr. Albert Roberts, of Philadelphia> (The Times (Phil.), 16 Nov 1884, p. 8) (read from digital version only)
1898: <Mr. Albert Roberts was a strong player of this period. Still living in Philadelphia, but has abandoned the practice of the game.> (Chess in Philadelphia, by Gustavus Charles Reichhelm (1898), p. 85)
1898 Philadelphia city directory, Roberts’s (with my comments in parenthesis):
Albert, carpenter, h 2453 N 11th
Albert, machinist, h 2503 E Norris (1900 census: two: born 1839 and 1880)
Albert, paperhgr, h 1212 Parrish (1900 census: born 1846)
Albert, porter, h 2240 Reed
Albert C., Jr., manager, 627 Arch, h 1609 N (1900 census: Manager (Brass W), born 1858)
Albert J., clerk, h Argyle n Levick, Lawndale
Albert L., sawmkr, h 1521 Oakdale (1900 census: Foreman, born 1860?)
Albert M., bricklyr, h 517 York (1900 census: born 1837)
Albert M., Jr., fireman, h 517 York (1899: Albert M. Jr., Brakeman, h 517 York, and Albert H., fireman, h 2548 N Napa)
The carpenter and the porter are not in 1897 and 1899 directories. My favorite candidate is Albert C. Jr.:
1913: Albert C. Roberts, Manager, b. abt. 1857 in Penn., d. 13 Sep 1913 in Atlantic City NJ at age 56 years 3 months 3 days, buried 17 Sep 1913 in Philadelphia at West Laurel Hill Cemetary (Phil. Death Cert. Index) (and see https://www.findagrave.com/cgi-bin/...). (Penn & NJ town records: b. 30 May 1857).
If this is our man, he would be 19 years old in 1876. In 1880 he was 23, Clerk in Store, son of tax collector (and grocer in 1870) Albert C. Roberts, 60. He married 14 April 1884 to Elizabeth Louisa Perkes. His father was a dealer in fine food groceries in the 1870s and 1880s, which could explain the «dainty» in 1884. In the 1884 directory we find Albert C., grocer, and Albert C. Jr., salesman (plus the bricklayer, the paperhanger, and Albert L.).
1890 census is missing. In 1900 census (Phil.) he is Manager (Brass W) and living with his wife in her parents house, In 1910 census (April) (Phil.) Albert C. Roberts is 52, superintendent of brass works.
All in all, I think it must be Albert C. Roberts (1857-1913).