rjenkinsgb, I am not sure why you cannot Google up any NiMH battery datasheets, but here is one of many that are conveniently available, which shows exactly what I said previously. More specifically, there are temperature ranges for Charging and Discharging, storage, etc. on the following datasheet. Keep in mind this datasheet is for the INDUSTRIAL spec (OE sales) of the Panasonic NiMH battery line, which has wider acceptable temperature specifications than your commonly available consumer-grade Eneloops.
**broken link removed**
In response to what you wrote, whether "charging occurs when the vehicle is running" depends completely on the design of whatever it is we are talking about. Indeed, I could design a system that charges with the ignition ON but the engine off, or I could design a system that charges with both the Ignition and engine off, although in that case I would need to take care to keep average current consumption low, or charge at a few hundred milliamperes for only a short duration and then stop.