I tried to do some census searching for you and came up with a few--you may already have all these!

Amos Morland:
1900 Grayson County, Texas, Precinct 1/Sherman City, ED 91, 5 June 1900, pg. 138A/8A:
920 E. Pacific
172/172 Moreland, Amos, head, w, m, Dec 1840, 59, wd, IN,IN,IN, farm laborer
Ida, dau, w, f, June 1883, 16, single, IN,IN,KY
Taylor, Virgil, son-in-law, w, m, Jan 1868, 32, m/7, MO,Unknown,unknown, Nursery laborer
Taylor, Martha A., dau, w, f, June 1875, 24, m/7, 1 child/1 living, IN,IN,KY
Bessie M., g-dau, w, f, Aug 1893, 6, single, AR,MO,IN

This looks like Amos & Lavina(?) in 1880:
1880 Clay County, Illinois, Oskaloosa Township, ED 147, 7 June 1880, pg. 276D/12:
5/5 living with J.W. Butts22 and Palina, 64, wd
Morland, Amous, w, m, 39, head, married, Farm laborer, IN,IN,IN
L.J., w, f, 32, wife, married, housekeeping, KY,KY,KY
Wm H., w, m, 16, son, single, Farm laborer, IN,IN,KY
Nancy, w, f, 14, dau, single, At home, IN,IN,KY
S.A., w, f, 10, dau, single, IN,IN,KY
J.M., w, m, 6, son, single,IN,IN,KY
M.R., w, f, 5, dau, single, IN,IN,KY

Salmon Family:
1850 Mercer County, Kentucky, District 2, 11 Oct 1850, pg. 360A/719:
1055/1055 Wilson Salmon, 28, m, Farmer, KY
Dorcas, 30, f, KY
William, 5, m, KY
Levina, 3, f, KY
James, 5/12, m, KY

1860 Martin County Indiana, Brown Township, 6 July 1860, pg. 831/72:
512/503 Wilson Salman, 34, m, Laborer, $/$50, KY
Jane, 18, f, IN
William, 14, m, KY
Louisa J., 12, f, KY (Lavina?)
James M., 10, m, KY
Nancy, 8/12, f, IN
Note: Looks like Jane was a 2nd wife as she is only 4 to 8 years older than the 3 older children!

1900 Ripley County, Missouri, Doniphan(?) Township, ED 97, 23 June 1900, pg. 119A/18A:
353/357 Salmon, Jesse O., head, w, m, Aug 1871, 28, m/12, IN,IN,IN, Farmer
Lillie B., wife, w, f, July 1873, 26, m/12, 8 children/4 living, MO,MO,MO
James E., son, w, m, July 1891, 8 single, AR,IN,MO
Hattie M., dau, w, f, May 1896, 4, single, MO,IN,MO
Ida M., dau, w, f, Apr 1898, 2, single, MO,IN,MO
Kissy J., dau, w, f, Apr 1900, 1/12, single, MO,IN,MO
Note: this may be a son of Wilson?
358/370 Salmon, Jane, head, w, f, Dec 1841, 58, wd, 8 children/5 living, IN,KY,KY
Stephen E., son, w, m, Feb 1879, 21, m/1, IN,KY,IN, Farm laborer
Luella, dau-in-law, w, f, June 1881, 18, m/1, 1 child/1 living, MO,TN,TN
Lola, dau, w,f , Jan 1900, 4/12, single, MO,IN,MO

1910 Ripley County, Missouri, Doniphan Township, ED 154, 22 April 1910, pg. 140B/3B:
Current View Road
57/57 Salmon, Edward, head, m, w, 30, Divorced(?), IN,KY,IN, Farmer
Jane, mother, f, w, 69, wd, 8 children/8 living(?), IN,KY,KY
Vivid, dau, f, w, 8, single, MO,IN,MO
Dorrian(?), dau, f, w, 6, single, MO,IN,MO

I found a J.S. Salmon in Barry Co--he doesn't look to be related to your Salmons:
1860 Barry County, Missouri, Sugar Creek Township, Washburn Prairie, 22, June 1860, pg. 857/51
328/320 John S. Soloman, 40, m, Wagon maker, TN
Lousiana, 40, f, AR
James B., 14, m, AR
Anderson, 12, m, AR
Mary J., 10, f, AR
Angalin Wright, 2, MO(?)
Daniel Boles/Bales(?), 9, m, KY
Christopher Saloman, 8, m, Ar
Thompson W., 6, m, MO
John W., 2, AR