Actually, it shouldn't be too hard to work something out here. We apparently need to:
1. Provide charging circuit between AC wall power and battery.
2. Provide power for running the 9114b itself (but I think the battery does that, even if it is plugged in)
3. What else?
If ya wanna, for "authenticity", the 82059d transformer could be used... I forget exactly what that thing put out, but I think it was an AC output device (hmmm, was it 8VAC output?). So what you would be building is a charger circuit for this to run, one filtered by the battery. I am sure someone around here has the basic diagram and parts list for the 9114b's pack so all you have to do is duplicate that, if the parts are still available.
Otherwise:
Charging a lead-acid 6v battery is fairly easy to arrange. There are even off-the-shelf multi-step chargers which could do so, in the $25-$30 (US) range. The only thing to do then, assuming the 9114b itself is entirely run on the battery, is arrange for protection of the 9114b device from the charger's somewhat higher voltage (calling Captain Zener).
A "dumb", off-the-shelf solution would be finding a small rectified charger of 6-7.2v dc and <=120mA. You ought to be able to find this kind of small "brick" if you frequent thrift-stores and junque shops. It is less than an optimal solution: all it will do is TRICKLE charge, and not even to the battery's maximum capacity, but it would be gentle and do the job, if rather slowly.
A typical multi-step ("smart", hahahah) 6v lead-acid charger has a threshold switch, to give it two personalities. It would output up to maybe 7.8 volts at the peak, dropping to 7.2v or so to trickle-charge afterwards. It's current would not be limited while fast-charging-- the battery itself can handle this-- but in practice, you will likely find 1A or 2A maximums on the charger output itself. In trickle, the current would be limited at some arbitrary level such as 1/12 or 1/24th (safer) of the battery capacity. Once in trickle, you don't need to have the threshold switch kick back to fast-charge mode until your device has drawn down the battery with its load BELOW the battery's "nominal" voltage of 6v.
Has anyone investigated the alternatives for powering a 9114b in one of these ways?