Alpha Theta Chi shares the name with many groups.
Sororities:
University of Michigan-Flint, Michigan
Vincennes University-Vincennes, Indiana
Hamilton College-Clinton, New York
Bethany College-Lindsborg, Kansas
Fraternities:
Trinity University-San Antonio, Texas
Hope College-Holland, Michigan
Honorary:
I think it is based out of Alabama.
There are a few other groups out there that I can't think of right now.
We don't mind sharing our name. We have actually talked to members from other chapters and discussed meeting up with them.
Unless they try to come to your campus and take over I wouldn't worry to much about it. There are a ton of groups out there that share a name...but they ARE different!
Have a nice day