Hi,
You can do the following,
go to MySQL folder,
then DATA folder,
here you will find folders carrying names of the available data bases on the server,
choose the folder name of the data base you want to copy or select all to be copied to the other server,
then paste them in a suitable storage media,
at the other machine or the other mysql server paste these folders again in its DATA folder,
immeadiately you will find them added to your server.
Please let me know what you get?