At Long Beach, it was common practice to let every chapter know if a girl was a legacy to any particular GLO.
My senior year, we had an in-house SK legacy go through (daughter of one of our advisers) and the daughter of a GPhiB adviser go through. We ended up with the GPhiB legacy and our in-house legacy went DZ.
We didn't go in thinking we were going to steal the legacy from another chapter but we didn't discourage them either from coming to our side.