Change the Location

To change where the tooltip appears, use the position option like the following:
<script id="scriptInit" type="text/javascript">
        $(document).ready(function () {
            $("#tooltiptarget>a").wijtooltip({
                showCallOut: true,
                closeBehavior: 'sticky'
            });
        });
        function applyPosition() {
            $("#tooltiptarget>a").wijtooltip("option", "position", { my: $("#my1").get(0).value + " " + $("#my2").get(0).value, at: $("#at1").get(0).value + " " + $("#at2").get(0).value });
        };
    </script>
<div class="main demo">
            <!-- Begin demo markup -->
            <div id="tooltiptarget"  class="ui-helper-reset ui-widget-header ui-corner-all" style="padding: 1em;">
                <a href="#" title="tooltip">tooltip</a>
            </div>
            <!-- End demo markup -->
            <div class="demo-options">
                <!-- Begin options markup -->
                <div style="height: 70px">
                    <div style="width: 180px; float: left;">
                        <span style="padding-right: 10px;">my:</span><select id="my1">
                            <option value="left">left</option>
                            <option value="center">center</option>
                            <option value="right">right</option>
                        </select>
                        <select id="my2">
                            <option value="top">top</option>
                            <option value="center">center</option>
                            <option value="bottom" selected="selected">bottom</option>
                        </select>
                        <br />
                        <span style="padding-right: 14px;">at:</span><select id="at1">
                            <option value="left">left</option>
                            <option value="center">center</option>
                            <option value="right" selected="selected">right</option>
                        </select>
                        <select id="at2">
                            <option value="top">top</option>
                            <option value="center">center</option>
                            <option value="bottom">bottom</option>
                        </select>
                    </div>
                </div>
                <input type="button" onclick="applyPosition();" value="apply" />
                <!-- End options markup -->
            </div>
        </div>