If the table is a MyISAM table then there is a chance that traditional file system recovery tools can recover. For each database there is a .frm, .MYD and .MYI file. You will need them all.
I do not think there is any chance with InnoDB. Here all databases share the same tables
ace unles you have enabled the 'innodb file per table' -option in configuration.
And the more you use this computer the bigger chance there is that the Hard Disk area form where you need to recover the files will be overwritten. Also do not defragment the hard disk untill you have recovered!