Moving a dev site to staging. Workflow / Settings problem

I am trying to sort out my workflow and am in the process of moving my dev code to a staging server. However, I am having problems connecting with my staging database. I think it may be a database / table naming issue.

I have ran the compatibility test on the staging server, it works okay. I am using the same connection details from the test in my config file. I have imported the database dump.sql file from my dev machine to the staging server, although the database is named differently.

I followed the instructions on the Perch site about moving a site, however I have obviously messed up somewhere? Any advice about how to progress welcome. (Diagnostics from the Perch login screen below.)

My dev database locally is named projectdb

My production database uses the same connection details username, password and database name.

My staging database however has a different name projectdbstaging

DIAGNOSTICS:
SELECT DISTINCT settingID, settingValue FROM perch2_settings WHERE userID=0
Invalid query: SQLSTATE[42S02]: Base table or view not found: 1146 Table 'projectdbstaging.perch2_settings' doesn't exist
SELECT * FROM perch2_user_privileges WHERE privKey='perch_backup' LIMIT 1
Invalid query: SQLSTATE[42S02]: Base table or view not found: 1146 Table 'projectdbstaging.perch2_user_privileges' doesn't exist
INSERT INTO perch2_user_privileges(privKey,privTitle,privOrder) VALUES('perch_backup','Run backups',1)
Invalid query: SQLSTATE[42S02]: Base table or view not found: 1146 Table 'projectdbstaging.perch2_user_privileges' doesn't exist
Queries: 0