Bob; Thanks to the 1920 tip I was able to trace the census images back to 1850 ME - take a look - it looks like this line is
? BARTLETT m Jane
Thomas BARTLETT b 1800 ME; m ?
William H BARTLETT b 1820 ME; d 1879 MO; m 1861 MO Erlinda WHITESIDE
Thomas Columbus BARTLETT b 1864 MO m 1902 Serena WHITE
Check with these records:
1850 Kennebec Co, ME (Augusta); Census [p70:#935]: Thomas BARTLETT 50 Farmer; William H 23 Farmer; Emeline 22; George H 19; Rufus A 15; Zelpha W 9; all b ME [NB #932: Asa BARTLETT 57 family; #934: Jane BARTLETT 77 & dau;]
1860 Montgomery Co, MO; Census [p?:560]: Orrin FLYE 36 Merchant b ME; Emma 28 b ME; 3 ch; Zelpha BARTLETT 18 b ME; William H 30 Painter b ME; Rufus 22 Laborer b ME;
1870 Montgomery Co, MO (Prairie); Census [p85:41]: William BARTLETT 40 House Painter b ME; Erlinda 30 b MO; Jessie 8; Rufus 7; Columbus 5; William 3; Walter 6/12; ch b MO
1880 Lincoln Co, MO (Louisville); Census [p334A:]: Malilda BARTLETT 40 Wd b MO KY/KY; Jessie 17; Rufus 16 Clerk in Store (pneumonia); Columbus 15; William 12; Cordelia 6; Beulah 2; ch b MO ME/KY [sic]; G N TINSLEY 22 boarder, Phusician; Mary TURLEY 14 cook;
1900 Pike Co, MO (Cuivre); Census [p:348]: Jessie BLACKWELL b May 1862, 38 b MO ME/MO; Nina HUNTSMAN (dau) b Nov 1885, 14; Geniva BLACKWELL(dau) b Jul 1893, 6 Everett b Apr 1895, 5; ch b MO MO/MO Erlinda BARTLETT (mother) b Aug 1835, 64 Wd 8/6 b MO KY/KY;
1900 Baker Co, OR; Census [p19B:405]: Alice B PARKER 58; … Thomas C BARTLETT b Jan 1866, 34 S Lodger b MO ME/MO (profession blank)
1910 Montgomery Co, MO (Prairie); Census [p3B:87]: Thomas C BARTLETT 44 M8 b MO ME/MO “Own Income”; Serena O 38 M8 1/1 b MO MO/MO; George I 8 MO MO/MO; [Indx= BARTERT]
1920 Montgomery Co, MO (Prairie); Census [p3A:38]: Thomas C BARTLETT 52 Wd b MO ME/MO Accountant, Bank; George (son) 17 MO MO/MO; Sarah A WHITESIDE (aunt)85 Wd b MO KY/KY
I hope this helps.If you know of a living male BARTLETT from this line, a simple DNA test would probably link this line to one of the several BARTLETT lines in New England for which we already have DNA - including the "Mayflower" BARTLETTs and the line of Josiah BARTLETT who signed the Declaration of Independence.