Re-directing (or mapping) a subdirectory inside multi-site

Domain Name: cinchyourstate.com
Domain & hosted both on HostGator
(and is primary site on multisite install for subdirectories)

Domain Name: CinchOklahoma.com
Hosted on GoDaddy

File located on cinchyourstate.com on HostGator:
cinchyourstate.com/transformoklahoma

I want to be able to put in:
cinchoklahoma.com/transformoklahoma

and have it take me to the cinchyourstate.com/transformoklahoma

I have confused myself on the best route to take. and I'm totally new to multi-site so my head is about to explode.

Domain mapping? Multi-site?