Well, so much for my best guess!It looks like we have two unrelated Billiter/Billeter lines in Ohio/PA by 1900.Both with Henrys.Here are the known Swiss Billeters from the 1900 OH census:
Billiter, John J52 b. Switz 12/1847, Toledo, Lucas Co. . Mary (W) 49 b. Switz 7/1850 . John (S) 20 b. Switz 9/1879 . Jacob (S) 15 b. Switz 1/1885 . Henry (S)9 b. OH 2/1891
Billiter, August43 b. Switz 8/1856, Glenville, Cuyahoga Co. . Amelia (W) 44 b. Switz 7/1855 . August (S) 22 b. Switz 11/1877 . Lena(D) 20 b. Switz 12/1879 . Lizzie (D) 16 b. OH 11/1883
Billiter, Agnes21 b. Switz 10/1878, Toledo, Lucas Co., servant of James E. Pilliod, w/him.
Note in the first family: (S) John b 1879. Also, it's a good bet that Agnes is an older daughter in John J's family group.A curiosity is the rapid Anglicization (sp?) of the names in John J's family, but not August's.
That's all I have for certain about the Swiss line in OH.Please post your findings here if you discover more.You are the first researcher of this line that I know of.