Fields are not defined on layouts. They are defined in tables.
Do these two layouts refer to the same table or different tables?
If the same table, do they both show exactly the same table occurrence name in "Show Records From" in the layout setup... dialog?
If so, then for manual searches where you select find mode and type in criteria, you can just switch to Layout #1, perform your find the switch to layout #2 to do your editing. For scripted searches, where the script doesn't need criteria from the user, you wouldn't even need to change layouts.
However, two layouts often means two tables or possibly two different table occurrencs of the same table. (A "table occurrence" is one of the "boxes" found at Manage | Database | Relationships.)