Oh Miss A, what a dilemma (and a heartache) for you when you and your grandson have lost a person so precious to them. I am so sorry that things aren't running smoothly.
I can understand you wanting to do your very best for your grandson in the circumstances, and I agree, he being left alone in the evening wasn't what you planned and is worrying. I am so sorry your neighbour failed you both, and I am sorry too that you have to go out to work unsociable hours. It's no wonder you feel like crying.
I couldn't have a falling out with your neighbour, mainly because she is someone you know and who knows you. It does sound as though you give more of yourself to her then she gives to you.
I really wouldn't know the best way to go about getting a reliable babysitter, so I am of little help. I wouldn't go to social services though. The last thing you want now is anyone carelessly and thoughtlessly applying labels - about you not being there for your grandson, or he being at risk or neglected. That would be awful, but you know how people can misinterpret situations.
I do sympathise with you and if I lived nearby I'd gladly help out. I wish I could offer more helpful advice.
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