JSFiddle - React, Tailwind, and code Playground

HTML

<div id="conatiner">
    <div id="header">
        <input type="text" class="search" />
    </div>
</div>

CSS

You could position the search box absolutely inside the #header

#container {
margin:0px auto;
width:100px;
border-left:#FFFFFF solid 1px;
border-right:#FFFFFF solid 1px;
}

#header {
height:150px;
background: url(./images/header.png) no-repeat;
border-bottom:#FFFFFF solid 1px;
position:relative; // parent container
}

#header .search {
margin:0px auto;
text-align:center;
width:620px;
position:absolute;
left:0; bottom:10px;
}