Hekate has never come to me as anything even remotely crone like. She's usually in about her 20s when I see her, and her presence can feel anywhere from motherly to well. . . dark. But she always gives off the "guide" vibe to me. 

"In some traditions January 31st is the night that Hekate hands Her torch to Brigid, whose arrival is celebrated at Imbolc.

This seems to parallel the cycle of the Holly King and the Oak King, who each rule one half of the year: Hekate carries the torch through the dark half of the year, while Brigid takes it for the light half. Some suggest that Hekate and Brigid are sisters who share the torch." --http://www.fortunecity.com/marina/pontoon/2457/id110.htm

All this may seem very odd, given that Hekate is Greek and Brigid Celtic. But traditional beliefs that evolve over time may have little to do with historical origins. Both Goddesses are very ancient, and have been worshipped in Britain for centuries, so who is to say what relationship may have developed between them? Sometimes the ways my Greek and Celtic beliefs over lap is rather surprising. . .