Did you sort it out in the end
@cheesefest ? Someone suggested sending someone else which I would have probably done, maybe someone who you live with or a friend. Make sure they bring the calling card. Not holding up much hope though as you said one of your other neighbours tried to collect a parcel from hers and she denied having it.
A lot of troll replies in this thread, but I sympathise as I've been in the same situation. Amazon delivered to one of my neighbours a few times, but it took a while for the penny to drop as I was still receiving the Amazon items ok. Turns out she was receiving the items and leaving them outside my house. So I was none the wiser. One day I was in when she popped around with another item and she went nuclear, telling me to stop using her house for deliveries. I told her I was using my own house, because why would I purposely go into my Amazon settings to change an address where I have lived for nearly 20 years? She wasn't having any of it though.
I went into Amazon's delivery instructions and told them not to deliver to my neighbour and things got better for a while.
Then the tone changed and she started accosting me outside my house every day I returned home from work, unprovoked. Sometimes aggressive, sometimes inappropriate / suggestive, and no she isn't good looking! It got to the point where I was having to walk to my house from a different direction so not to be detected. A week or so later, there was a police car parked outside her house and I didn't see her again for several months, so she probably got done for something. She's back now and we just ignore each other.
This all happened last year, so still fairly recent-ish. Hopefully your neighbour will fall down the same pit.