How to use GRANT for Network Client?(for newbie)

[Terrance Win]

Hello Everybody,
        I have a MySQL server in my W2K server DNS=Network.srv.  User name 
'Admin' and password ='password' is for Admin purpose in Server.
Database name = 'TestDB'
IP for server      = 192.168.111.2

       So I set up grant
GRANT ALL on TestDB.* TO [EMAIL PROTECTED] IDENTIFIED BY 'password';
It works pretty well on server machine.

   I've another machine with IP = 192.168.111.3.

Do I need to set a grant such as
GRANT ALL on TestDB.* TO [EMAIL PROTECTED] IDENTIFIED BY 'password';
Thank you.
Terry
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