Yeah, talk to her. It sounds like she's lonely and really just wanting some company. Pick one of your chickens up and take it to her to look at. I don't think she means any harm. What would you estimate her age to be?
We once lived in a house inside the city limits and there is a sidewalk next to our front yard. We have privacy hedges surrounding the front of the home and down both sides. So our hedges are against the sidewalk people use. Our hedges are kept trimmed neatly in a square design and I keep them about 7 foot tall. Not much fun trimming these which I have to do about once a month. Anyway, when we moved into the house there was a elderly lady who walks the sidewalk daily back and forth. We have spoke to her several times and she's always been very nice and complemented us on how neat we keep the hedges saying the other owners of the home before us didn't cut them at all and they city would come out and trim them. Well, after living in the home over 5 years and talking to this lady we get a notice in the mail from the city that we need to trim our hedges??? WHAT!! We trim them monthly. I called the city telling them how neat we keep the hedges and they are welcome to come out anytime and inspect them.
Come to find out this 'nice' little lady had went to city hall and complained to them she had fallen down while walking on the sidewalk after being stung by a wasp! She told them it was because of our hedges and wasps building in them. She told them out hedges needed to be cut down!!
We spoke to city hall about this and they actually told us the old lady was the one who complained and not to worry about it. Seems this old lady complains to them about 1/2 the people in the town, LOL