Client side application help requested

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VB

SQL-Server

Hi,
I am testing an application. In tableadapter configuration wizard, On server side:
While choosing data source, I chose Microsoft SQL Server Database File.
This gave set the connection string as:

Data Source=.\SQLEXPRESS;AttachDbFilename=|DataDirectory|\Database1.mdf;Integrated Security=True;User Instance=True

Is this correct?
Any way this works in my desired way.

Then in SQL Server Mgmt Express, I attached the database to the instance of my SQL Server Express (to MyhomeServer\SQLExpress"

Now I want to use the same application on Client side (off course databse is stored in Data Directory of my application in Server Side) Now in tableadapter wizard, I choose Microsoft SQL Server Express. Is that correct?
I have done all configurations for remote connection etc. and also done the firewall settings. When I run this test on client side, it returns error:

Cannot open database "Database1.mdf" requested by the login. The login failed. Login failed for user 'MYHOMESERVER\Kh. Furqn'.

Why does it go to Kh. Furqan while I am giving it SQLExpress, where the DB is attached. My server is MyHomeServer\SQLExpress and connection is MyHomeServer\Kh. Furqan (Authentication is Windows Authentication, and no password for it)

Thanks