Try using <code> tags around your html to prevent it from rendering.

Otherwise, I think you need something like this:

m/<a[^>]*                   # an anchor tag
  href=                     # the Href in the anchor
  (["'])((?:(?!\1).)*)\1    # the value in the href
  [^>]*>                    # anything to the end of the anchor
  [^<>]*                    # the content in the anchor tag
  <\/a>                     # the end of the anchor
  (?:\s|<[^>]*>)+           # any whitespace or html tags
  (\d{9})                   # the 9 digit number
 /isxm;
my $href = $2;
my $number = $3;
[download]

Update:

my $re = qr/<a[^>]*                   # an anchor tag
  href=                     # the Href in the anchor
  (["'])((?:(?!\1).)*)\1    # the value in the href
  [^>]*>                    # anything to the end of the anchor
  [^<>]*                    # the content in the anchor tag
  <\/a>                     # the end of the anchor
  (?:\s|<[^>]*>)+           # any whitespace or html tags
  (\d{9})                   # the 9 digit number
 /isxm;

my $string = do{local $/; <DATA>};
 
while($string =~ m/$re/g){
    my $href = $2;
    my $number = $3;
    print "$number - $href\n";
}

__DATA__
            <a name="a"></a>
            <h2>A</h2>
            <table border="0" cellpadding="0" cellspacing="0" width="1
+00%">
               <tr>
                  <td>
                     <table id="a" border="1" bordercolor="#333366" ce
+llpadding="5" cellspacing="0" width="100%">
                        <tr>
                           <td width="33%" class="clsTableBody" valign
+="top" id="firstCol"><a href="pdf\c76b834e-36e1-497b-b13e-eba2348dc04
+4.pdf" target="_blank">Abbott, Evelyn</a><br/><span>110136892</span><
+br/><a href="pdf\8a956f66-1c60-48fc-905c-b49d617aa6c5.pdf" target="_b
+lank">Agnew, Thomas</a><br/><span>110377660</span><br/></td>
                           <td width="34%" class="clsTableBodyClear" v
+align="top" id="secondCol"><a href="pdf\37d3e78b-1adb-458b-9e89-0df78
+0909f08.pdf" target="_blank">Allison, David</a><br/><span>108116112</
+span><br/><a href="pdf\6c0a5bb4-143d-4305-957b-796c8193d07a.pdf" targ
+et="_blank">Allison, Gary Owen</a><br/><span>116815754</span><br/></t
+d>
                           <td width="33%" class="clsTableBody" valign
+="top" id="thirdCol"><a href="pdf\ae8d51e0-005b-44be-84cb-3c9b5733575
+5.pdf" target="_blank">Arsenault, Michael</a><br/><span>108318866</sp
+an><br/><a href="pdf\e646f948-f78d-4463-a01d-0261aebf70dc.pdf" target
+="_blank">Arsenault, Normand A.</a><br/><span>113069066</span><br/></
+td>
                        </tr>
                     </table>
                  </td>
               </tr>
            </table>
[download]

Output:

110136892 - pdf\c76b834e-36e1-497b-b13e-eba2348dc04
+4.pdf
110377660 - pdf\8a956f66-1c60-48fc-905c-b49d617aa6c5.pdf
108116112 - pdf\37d3e78b-1adb-458b-9e89-0df78
+0909f08.pdf
116815754 - pdf\6c0a5bb4-143d-4305-957b-796c8193d07a.pdf
108318866 - pdf\ae8d51e0-005b-44be-84cb-3c9b5733575
+5.pdf
113069066 - pdf\e646f948-f78d-4463-a01d-0261aebf70dc.pdf
[download]