Having had such a friendly reaction from my neighbours (read My friendly neighbours to know), I was rather motivated to be all the more friendly to her. Here's another fictionalised account of my endeavours and their outcome:
I smiled at my neighbour,
Everytime I found her near;
In her garden, at the store,
At the crossroad, or her door.
At first she rechecked whether
It wasn't one of her silly dreams;
Then as always gave me a glare,
That were her silent screams.
I still pursued her with my smiles,
For I believed good will result from my tries;
I smiled when she glared at me,
I smiled even if she gave me a sigh.
I smiled at her warmly
When she won at a game;
I gave her a smile so soft
When a trouble made her lame.
Then like sunshine
My smile broke the ice betwixt;
It struck a chord in her heart,
And she smiled at me so very sweet!