Experiment with the following code, I think this is what you wanted:
Code:
<!-- Search The Internet Hack (search bar), (Copyright 2002+), tHE DSS -->
<!-- 5px VERTICAL GAP -->
<table border="0" width="100%" cellpadding="0" cellspacing="0">
<td height="5"></td>
</table>
<!-- 5px VERTICAL GAP END -->
<table border="0" width="38%" cellpadding="0" cellspacing="0">
<tr><td><table bgcolor="#0A293E" cellpadding=4 cellspacing=1 width="50%"
border="0">
<td align="left" valign="center" bgcolor="#1D6AA0"><smallfont
color="#000000"><img src="https://vborg.vbsupport.ru/images/find.gif"
alt="Search the net!" border="0"> Search The Internet</smallfont></td>
<tr>
<td align="left" valign="center" width="100%" bgcolor="#13486D">
<table cellpadding=0 cellspacing=0 width="100%" border="0">
<tr>
<td align=left valign="center">
<form action="./websearch.php" target="_blank">
<input type="hidden" name="s" value="$session[sessionhash]">
<input type="text" name="searchString" size="25" maxlength="255" value="">
<select name="engine">
<option value="google" selected>Search -> Google
<option value="yahoo">Search -> Yahoo
<option value="altaVista">Search -> Alta Vista
<option value="excite">Search -> Excite
<option value="lycos">Search -> Lycos
</select>
</td>
<td align=right>
<input type="submit" name="searchButton" value="Search">
</td> </form>
</tr>
</table>
</td></tr>
<tr>
<td align="left" valign="center" bgcolor="#1D6AA0"><smallfont
color="#000000"></smallfont></td></tr>
</table></td>
<!-- duplicate table add below here, in <td> tags -->
<td>
<table bgcolor="#0A293E" cellpadding=4 cellspacing=1 width="50%"
border="0">
<td align="left" valign="center" bgcolor="#1D6AA0"><smallfont
color="#000000"><img src="https://vborg.vbsupport.ru/images/find.gif"
alt="Search the net!" border="0"> Search The Internet</smallfont></td>
<tr>
<td align="left" valign="center" width="100%" bgcolor="#13486D">
<table cellpadding=0 cellspacing=0 width="100%" border="0">
<tr>
<td align=left valign="center">
<form action="./websearch.php" target="_blank">
<input type="hidden" name="s" value="$session[sessionhash]">
<input type="text" name="searchString" size="25" maxlength="255" value="">
<select name="engine">
<option value="google" selected>Search -> Google
<option value="yahoo">Search -> Yahoo
<option value="altaVista">Search -> Alta Vista
<option value="excite">Search -> Excite
<option value="lycos">Search -> Lycos
</select>
</td>
<td align=right>
<input type="submit" name="searchButton" value="Search">
</td> </form>
</tr>
</table>
</td></tr>
<tr>
<td align="left" valign="center" bgcolor="#1D6AA0"><smallfont
color="#000000"> </smallfont></td></tr>
</table>
</td>
</tr>
</table>
The parts in red are the main changes I made.