Either of these (tuned to your need) should do the trick. HTML::TokeParser::Simple or XML::LibXML.

use LWP::Simple qw( get );
use HTML::TokeParser::Simple;

my $page = get(+shift || die "Gimme URI!\n");

my $p = HTML::TokeParser::Simple->new(\$page);

while ( my $token = $p->get_tag("td") )
{
    next unless $token->get_attr("class") =~ /\bsomeClass\b/;
    my $first_child = $p->get_token();
    print $first_child->as_is, $/;
    last;
}

use XML::LibXML;

my $p = XML::LibXML->new;
$p->recover_silently(1);
my $doc = $p->parse_html_string($page);
my ( $td ) = $doc->findnodes('//td[@class="someClass"]');
print $td->textContent, $/;
[download]

(update: rolled into single <code/> and fixed tag name.