OK, first of all - Elk - look earlier where he explained that EITHER the coal stove or the wood is installed at one time - the other pipe dead ends. The install otherwise seems OK, although I did not look close.
As far as the burn times, I don't know how familiar you are with burning wood, so at the risk of being obvious, let me suggest some techniques....
It is very difficult to get a long burn soon after starting a fire. Folks who burn overnight, in most cases, have the stove going 24/7 and therefore have some advantages to your description above.
IT IS VERY NORMAL THAT YOUR TYPICAL WOOD BURNS DURING THE DAY ARE FROM 2-4 HOURS IN LENGTH.
This is very different from coal, so although wood stoves CAN produce overnight burns, most of them do so only with some fiddling and with very low heat output. So my first point is that you should become used to daytime burns of 2-4 hours when you are looking to get max. heat out of the stove. During these burns, you don't have to pack the stove - I like to say "3 or 4 splits every couple hours" as a guideline.
Now, coming to the overnight burn - here is where experience rules...
It takes a large bed of coals and a bunch of very decent wood to create an overnight burns in any stove with a relatively small firebox (less than 3 cubic feet). So, assuming you have already been burning wood all day, you'll want to time the burns so that you have ONLY a big bunch of hot red coals at bedtime (say 11PM). At that point, you pack the firebox with every piece you can, selecting the hardest species (oak, for instance) and the best fit.
Then you'll want to burn the stove with the draft full open for 10-20 minutes just to make certain the wood is dried and lit.
After that, turn the draft controls down...in your case all or most of the way - and you should end up with at least a semi-warm stove and some hot coals (when you stir it) 8 hours or so later.
I can't help but think that maybe you have become spoiled by coal!
Another hint - the coals are the longest lasting part of the fire if you use good hard woods. So don't fret if the wood burns fairly quickly...there are still often many hours left with the hot coals.
I hope that helps somewhat.