First let me say I have read the Operators Manual for the 2004 Adventurers and according to the manual both slides are hydraulic. The manual says that the manual parking brake must be set, then turn the ignition to the accessory position, turn on the leveling system first, then the extension system will work.
An easy check to determine if the ignition switch is working is to note if the power on light on the leveling system is lit. If it does not come on start looking first at the chassis battery then the ignition switch output.
If the leveling system light comes on it's else where and there are trouble shooting suggestions in the manual.
After rereading your original post and the manual, I would say that there is a problem with the accessory part of the ignition system. It could be the ignition switch, it could be the interlock in the brake system or the leveling system panel it could be a loose wire but it is not too likely the battery. It is a great idea to maintain batteries and hers seem to need maintenance but that is not likely her problem.
Now how did you determine that the living room slide is electrical? The hydraulic system is powered by a motor but the slide has hydraulic rams for extending and retracting. If the system has been modified, then all bets are off as to the cause.
By the way, here is a link to the manual, pages 2-17 and 2-23 or the pages to look at.
Manual
"I travel not to go anywhere, but to go. I travel for travel's sake. The great affair is to go". R. L. Stevenson
David Bishop
2002 Winnebago Adventurer 32V
2009 GMC Canyon
Roadmaster 5000
BrakeBuddy Classic II