TABLEON tables has inbuilt search input for searching by posts title, which not belongs to filter constructor, and its position is always on the top.
Visibility of the search input managed by option in the tab "Options":
The search input is synchronized with the "Filter" functionality but its position is not changeable. So, if the question is to change search input position answer is - its not possible, but it resolvable thanks to next algorithm:
- disable "Search by title" search input in tab "Options" (screen above)
- go to tab "Filter", find and drop into green zone row "Title"
- add others filter elements, if necessary, and set their positions
