[Moved from identification thread]
That three-leaf oak mon appears to be the one that the okaasan of Tama okiya, Tamakazu (real name Matsuo Hisae), used as a maiko:
You can see it on her darari obi:
You can see it on the shoulder of her hikizuri:
She might have started using the paulownia when she opened Tama (possibly even when she became an independent tachikata geiko).
You can also see Ryuumori-Dannas' theory on her personal mon, and possible difference between ochaya Tama and okiya Tama mon here:
For more about her, he has a timeline of her career here (and misedashi photo!):