Lynn-a-roo, the Woods Creek suspension bridge is deep in Kings Canyon National Park. You can get there in a long day of hiking (15 miles) from Road's End in Kings Canyon, up past Mist Falls, and through Paradise Valley. (pretty names, no?)
Here's a link to the Gmap4 map: Woods Creek Suspension Bridge. On this map, if you zoom all the way in, then switch to Satellite view, and zoom in again, you can actually see the bridge! Very cool.
And Bee is right, those pics were from the hike Carolyn and I did back in 2008. Here's the album: JMT hike, 6-22 to 6-28-08
Here's a video I took from the bridge on that trip.