That is a Asian/White Mulberry - Morus alba - which is an invasive exotic species. It can and does produce edible fruit.
I don't live there, but I can be certain that tree was not purposely planted in that location. It likely got there the same way most seedlings of this species occur: by bird droppings of seeds after consuming the fleshy fruit. This is the main way such invasive species spread far and wide.
This is quite a large tree, so it isn't suitable to having growing at the base of a fence. I would remove it as soon as possible.
