Multisite and multiple child themes

Hi, I am trying to use your MultiCorp on a site we are developing and will be using Multisite, I would like to have a different child theme for each site, is that possible? I tried, and when I enabled the child theme on the sub-site it didn’t work, since it was looking in the wrong directory for all the supporting files. I need it to look in the root wp-content not the sub-site wp-content (since there isn’t one). How can this be done do I can have a different child theme for each sub-site?
Thank you,
Gavin Haubelt
City of Fresno