Thank you for your suggestion.
There is currently no way (other than writing an OpenHealthService plug-in report) to summarize tests by administration location.
You say that there is no 'connection' between the provider and the test. To be clear - the test itself and the provider ARE connected (in the data model and in the individual test UI). But there is no mechanism in the Medical History Summary Report to display this connection.
We have created a bug report (http://bugzilla/show_bug.cgi?id=946) - to track this feature request. Our (very tentative) plan would be to add a new "Test Results" report, which among other features - we plan to allow this sort of filtering and extra reporting. This is tentatively scheduled for HealthFrame v3.1 (but thats far enough off we aren't sure).
Thanks so much for your ideas!