Lisa, I saw Shelton's marriage in the WPA Index to Marriages in Putnam County:
--Burgess, Shelton to Eliza J. Whitecotton Aug 1 1850
However,I'm wondering if you also saw this marriage entry in the WPA Index to Marriages in Hendricks County: --Burgess, Shelton to Celia Ayres (no date but it says it is from Book 3, page 224--other marriages in this index that are also in Book 3 occurred in 1847-1848).
I also saw in the Hendricks County marriage index: --Burgess, Moses to Margaret A. Hutchings Apr 2 1852
Obviously this is not your Moses son of Shelton, but it could be Shelton's father.
I found Shelton on the 1850 Indiana census:
1850 census for Putnam County, Greencastle Township, page 524A: #161-161 Shelton Burgess 36 m farmer $1000 b. KY --Eliza 22 f NC --John L. 1 m IN
Because this census was enumerated 19 August 1850, I think the John L. age 1 is probably a child from Shelton's marriage to Celia Ayres.
I also found him in the 1860 Indiana census: 1860 census for Hancock County, Green Township, page 454: #146-147 Shelton Burgess 48 m w farm laborer - $100 b. KY can't read or write --Eliza 33 f w IN --Sarah 8 f w IN --Athiel 3 m w IN --Emerine 2 f w IN --John 10 m w IN
I also found a Moses Burgess in 1860 Indiana:
1860 Hendricks County, Clay Township, page 665: #1406-1408 Moses Burgess 53 m w farmer $400 $800 b. VA --Margaret 33 f w IN --Martha 8 f w IN attended school --Sarah 5 f w IN --Frances 4 f w IN --Ellen 2 f w IN --Jane 1 f w IN
I was unable to find a Moses Burgess on the 1850 Indiana census.I was also unable to find a Moses or Shelton Burgess on the 1870 Indiana census index.
I did find Shelton's widowed wife as head of household in the 1880 census:
1880 Hendricks County, Clay Township, page 636C: #330-342 Burgess, Eliza w f 50 widowed keeps house b. IN father b. VA mother b. KY --Moses wm ?19? [hard to read] single farm laborer IN KY IN Craig, Atha w f 22 daughter widowed keeps house IN KY IN Craig, Eddie w m 8 son single attended school IN OH IN Craig, India w f 4 daughter single IN OH IN