Does SQL Server 2008 R2 10.50.6560.0 Support TLS 1.2?
Build 10.50.6560.0 does support TLS 1.2.  I was able to resolve the problem by installing a new certificate from our CA.  Apparently the older certificates that are on the server are not capable of supporting TLS 1.2.

TLS 1.2 support for Microsoft SQL Server includes information regarding the client and server versions that are required to support TLS 1.2.