Can You Access A Replication Database
Turns out to be a permissions error. The permissions looked right from a database server point of view (Security -> Logins). These permissions as far as I can tell were moved over as part of the replication.

But when I looked at the individual databases the security under them was missing (database -> Security -> Users).

Under the database security the only users were dbo, guest, INFORMATION_SCHEMA, and sys.