Eu quero depois de clicar no google map e obter Latitude e Longitude obter lugar de localização de eles e colocá-lo (endereço) no arquivadoinput#searchTextField. O que eu faço?

Eu tentei como, mas não trabalhe para mim:

DEMO: http://jsfiddle.net/DXkZJ/

<input id="searchTextField" type="text" size="50" style="text-align:    left;width:357px;direction: ltr;">
<div id="map_canvas" style="height: 350px;width: 500px;margin: 0.6em;"></div>



 $(function () {
     var lat = 44.88623409320778,
         lng = -87.86480712897173,
         latlng = new google.maps.LatLng(lat, lng),
         image = 'http://www.google.com/intl/en_us/mapfiles/ms/micons/blue-dot.png';

     //zoomControl: true,
     //zoomControlOptions: google.maps.ZoomControlStyle.LARGE,

     var mapOptions = {
         center: new google.maps.LatLng(lat, lng),
         zoom: 13,
         mapTypeId: google.maps.MapTypeId.ROADMAP,
         panControl: true,
         panControlOptions: {
             position: google.maps.ControlPosition.TOP_RIGHT
         },
         zoomControl: true,
         zoomControlOptions: {
             style: google.maps.ZoomControlStyle.LARGE,
             position: google.maps.ControlPosition.TOP_left
         }
     },
     map = new google.maps.Map(document.getElementById('map_canvas'), mapOptions),
         marker = new google.maps.Marker({
             position: latlng,
             map: map,
             icon: image
         });

     var input = document.getElementById('searchTextField');
     var autocomplete = new google.maps.places.Autocomplete(input, {
         types: ["geocode"]
     });

     autocomplete.bindTo('bounds', map);
     var infowindow = new google.maps.InfoWindow();

     google.maps.event.addListener(autocomplete, 'place_changed', function (event) {
         infowindow.close();
         var place = autocomplete.getPlace();
         if (place.geometry.viewport) {
             map.fitBounds(place.geometry.viewport);
         } else {
             map.setCenter(place.geometry.location);
             map.setZoom(17);
         }

         moveMarker(place.name, place.geometry.location);
         alert(place.name);
         $('.MapLat').val(place.geometry.location.lat());
         $('.MapLon').val(place.geometry.location.lng());
     });
     google.maps.event.addListener(map, 'click', function (event) {
         $('.MapLat').val(event.latLng.lat());
         $('.MapLon').val(event.latLng.lng());
         alert(event.latLng.place.name)
     });
     $("#searchTextField").focusin(function () {
         $(document).keypress(function (e) {
             if (e.which == 13) {
                 return false;
                 infowindow.close();
                 var firstResult = $(".pac-container .pac-item:first").text();
                 var geocoder = new google.maps.Geocoder();
                 geocoder.geocode({
                     "address": firstResult
                 }, function (results, status) {
                     if (status == google.maps.GeocoderStatus.OK) {
                         var lat = results[0].geometry.location.lat(),
                             lng = results[0].geometry.location.lng(),
                             placeName = results[0].address_components[0].long_name,
                             latlng = new google.maps.LatLng(lat, lng);

                         moveMarker(placeName, latlng);
                         $("input").val(firstResult);
                         alert(firstResult)
                     }
                 });
             }
         });
     });

     function moveMarker(placeName, latlng) {
         marker.setIcon(image);
         marker.setPosition(latlng);
         infowindow.setContent(placeName);
         //infowindow.open(map, marker);
     }
 });​