She will stand at the gate (inside the city) for 3 minutes (I think that is 1 ingame hour) at 6pm-7pm.
She will then walk past the smelter, then behind Warmaidens, then behind the old creepy woman's house, then behind Ysolda's house, then behind the Inn, then through the market and back to the gate. (until 9pm)
Back to gate guard duty until 10pm
outside the city she will be a gate guard until 11pm
she will guard the stables until 12am and then go to bed (probably in the inn)
7am she will start doing bounty hunting jobs and completing them until 12pm
she will have a 1 hour break and then do more bounty hunting until 5pm.
5pm-6pm she will have another break and then back to guard duty.
I will repeat until bored.