Asa Dowdy at the bottom of the page is not connected to his children on the next page.
FS will not find the children in a search.
How may the family be united on the census record?
URL rescued from the mangler: https://www.familysearch.org/ark:/61903/3:1:3QHN-PQHW-V9ZB-X?view=index&action=view&groupId=TH-7734-115398-34859-59 and the short format https://www.familysearch.org/ark:/61903/3:1:3QHN-PQHW-V9ZB-X
The 1950 census has the new edit-everything index correction tool, in which you can fix household groupings like this.
Unfortunately, it's complicated enough that in figuring out instructions for fixing it, I ended up fixing it myself.
No idea how to get it to list the people sensibly on the index detail page (https://www.familysearch.org/ark:/61903/1:1:6F9M-WLTZ); they seem to be in random order right now.