I haven't got any children, so haven't had to decide on a name, but my mum chose my name simply because it was her favourite. She liked that it was unique, and not something that everyone is called. My dad contributed too. My name is in two parts, so he chose the second half, and the my middle name. They didn't choose based on what the names mean or anything; just that they liked the sound of them. I think that is the most important thing when choosing a name - that it has a personal connection for you. Many parents do this by naming their children after their own parents.
When you say 'strange', it is all relative, because what may sound like an unusual name to one culture, would be completely normal for another.