I think I know what you mean... so paste this code into your page:
<FORM method=GET action="http://www.google.com/search">
border="0" ALT="Google" align="absmiddle"></A>
<INPUT TYPE=text name=q size=25 maxlength=255 value="">
<INPUT type=submit name=btnG VALUE="Google Search">
if you don't like the logo image, you can choose a different one from http://www.google.com/stickers.html.
Don't worry about 'wronging' anyone, Google take traffic wherever it comes from and encourage site owners to host their search box.
Btw, you have the same name as my twin sister -