With Microsoft Dynamics GP you have to use the 32-bit ODBC connection - second make sure you can PING by name and PING by IP address to the SQL Server. Sometimes seeing the folders is not enough.
Make sure the name of the ODBC connection on the new machine is the exact same as on the currently functional machines.
Lastly 'as a test' disable the firewall on the new laptop.
Hope something here helps. If so, post your results as I am sure others will be interested to know what finally worked for you.
