I'd recommend you take a chunk of the stained wood you cut out to a quality local paint shop and ask them to match the stain. I've had good luck with this approach on projects in the past. A pro can usually match stain or paint real close, although with stain the wood you plan to stain needs to be supplied as well since different woods will take a particular stain differently.
How is it one careless match can start a forest fire, but it takes a whole box to start a campfire?
Dan & Linda, 2008 Camelot PDQ, 2008 Jeep Wrangler