How to make Suite name show up in github integration

I have my test cases for a project broken up into Test Suites. 
When I push a defect (test result) to github, using the github integration, I want the Test Suite to show.
It doesn't appear to be a predefined field that I can select, but I would have expected it to be predefined. 
My github integration is working very well, other than this one small thing I need to address.
Can you please provide some assistance?
Thanks!
Del