I have new information in regards to this problem.
The domain mapping is incorrectly mapping the domains. This might be related to the SSL. But for now, I completely removed the SSL, and I completely removed all plugins except domain mapping and the WPMU dashboard.
The domain "lesfarley.com" is incorrectly mapping the themes files. For example, here is a file from a theme that is not loading because it produces 404 error:
This file path produced by the WPMU plugin leaves out the /wp-content.
This results in the theme not loading.