I saw [id://ph713]'s reply as I finished typing mine. Basically the same thing, but I don't want to waste the time I spent figuring it out, so here it goes... 
$cgi->Tr({ -align=>'LEFT', -valign=>'TOP'}, 
     td( [ $cgi->a( {-href=>"..", -target=>"_new"}, $cgi->img('asdf'))
+,
                $cgi->a( $value1 )
        ]),
     td( { -OnClick=>"javascript:dothis()" }, 
        [ $cgi->hidden( -name=>'name2', -value=>'$value2' ).
                    $cgi->a( $value2)
        ]),
     td( { -OnClick=>"javascript:dothis()" }, 
        [ $cgi->hidden( -name=>'name3', -value=>'$value3' ).
                    $cgi->a( $value2)
        ]),
    );

[download]

Update: Fixed (hopefully) as per [id://pg]'s post.

In reply to Re: Creating a table using cgi.pm - a unique problem by kwaping
in thread Creating a table using cgi.pm - a unique problem by sara2005

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