I believe there may be some Scottish root to this name. There is a Falls of Lora and a Beinn Lora, outside the village of Connel near Oban on the west coast of Scotland. I've found some sources which say that the falls were so called by Ossian the blind poet who mentions in his work a Dun-Lora, Lora's Heath and Battle of Lora among others. So far however, I haven't found a meaning.
I think a lot of names go with Lora as a middle name. My middle name is Heather which I love. I also like Lynn, and traditional names seem to go well like Jane, Marie, Anne, Grace, Kate or Elisabeth.