An elderly neighbour died a couple of weeks ago. His widow is very mentally with-it, although a little physically frail (can still drive etc though). They were married for over 40 years so I think it must be really difficult for her, suddenly being alone (she does have some limited family involvement).
When she told me about his death, I offered to pop in every so often, just to see if she was OK. She was very enthusiastic about this, so I assumed she'd like the support (I've got a family history of ASD so am not always great at reading interpersonal interactions).
I've popped over twice but she either didn't hear the door or was out. In the end, I felt bad and didn't want her to think I was ignoring her, so put a note with my phone number through the door.
A couple of days later I saw her, we had a chat, I gave her a hug. She thanked me for the note. I got the impression though that I might have been a bit pushy?
I'm super busy with work and other commitments, so if she really doesn't need the support, I'm fine with that, but just don't know how to gauge it? I don't want to push my way in if it isn't wanted but also don't want to be a bad neighbour and leave an elderly, frail, recently widowed woman alone. Every time I've seen her, she's cried so I am a little worried, although otherwise I think she's coping.
What approach to take?