How would you deal with situation: sharing a home – with 4 apartments/tenants inside. Details inside?

I live in a 150 year old, large home. There are 4 separate apartments inside the house. Two upstairs, two downstairs. The house is old and you often hear noises coming from the other tenant’s apartments. My neighbor across the hall, sadly, I can hear when he is getting amorous with his g/f in the wee hours of the night. Solution; I sleep with fan on. The “noises” don’t wake me up anymore.
I have been here for a year and things have been cool. The fellow who lived directly below me, moved out a month ago. We got along great. He had a rather loud entertainment system set up, and I could hear him watching movies at night. He shut ’er down by 11 at night, though, I was cool with that.
After he moved out, the new tenant moved in. I would say that she is in her late 40’s. I haven’t been home all that much, so, I didn’t get a chance to introduce myself. Well, last night, I lugged a few bags of groceries up the stairs to my apartment and a few seconds after closing the door, there was a knock. It was the new tenant. She introduced herself, asked if I could help her with the laundry room door (it sticks sometimes), and then said to me “Can I ask you something? I see you have hardwood floors up here. Could you do me a favor and walk softly? I can hear you downstairs.” Now, I certainly don’t clomp around on the balls of my feet. I am 5’2” and 115lbs. The house is old. You hear everything. I can even hear my neighbor across the hall walk around in his bedroom.
What should I do?