Joseph T Sedgwick  [Thomas Sedgwick / Mary (Polly) Roney]
b. January 1850, Illinois
d. aft 1900, [Texas]
m1 August 13, 1874, Moultrie County, Illinois, Carrie E Smutz (Book A pg 53)
m2 June 23, 1898, Jefferson County, Texas, Sarah J Unknown-Collins-Wertz

Carrie E Smutz  [Joseph G Smutz / Sara A Unknown]
b. abt 1856, Ohio
d. bef 1898?

Sarah J Unknown-Collins-Wertz  [parents unknown]
b. December 1853, Virginia
m1 Unknown Collins? (her children are named Collins)
m2 Unknown Wertz? (the marriage record to Joseph shows her as Mrs Sarah Wertz)

Texas Marriages, 1851-1900, an Ancestry.com database:
SEDGWICK, JOSEPH TAYLOR, Spouse: WERTZ, SARAH J. [Mrs]
Marriage Date: 23 Jun 1898, County: Jefferson, State: TX
Cannot find her as Collins in Missouri in 1880

Census records:

1850 IL Moultrie
1860 IL Moultrie
1870 IL Moultrie, Marrowbone
Carrie and the children:
1880 IL Moultrie, Bethany
Joseph and the children with Sarah and her children:
1900 TX Jefferson

Children of Joseph T Sedgwick and Carrie E Smutz:

Clarence J Sedgwick
  b. May 1875, [Moultrie County] Illinois
  d. [June 13, 1937, Chicago, Cook, Illinois]8
  m. abt 1897, Ophelia May Carter
Carrie M Sedgwick
  b. March 1877, [Moultrie County] Illinois
Sources:

1. Records of descendant/researcher of this family

2. Census records, any of those indicated.

8. Illinois Statewide Death Index, 1916 - 1950
Illinois State Archives, Springfield, Illinois
online at http://www2.sos.state.il.us/GenealogyMWeb/idphdeathsrch.html
This record, believed to be Clarence J Sedgwick:
Last NameFirst NameSex/RaceAgeCert #Death DateCountyCityDate Filed
SedgwickClarenceM/Wunk60179961937-06-13CookChicago37-06-16