name of a dwarf weeping willow tree

We are looking to plant a dwarf weeping willow tree in our garden at school as a memorial to a teacher who has passed away. However when we look up dwarf willow trees they show a tree that doesn’t look like a willow. We would like a smaller version of willow trees you see along ponds and in parks. Is there a dwarf willow tree like the huge ones and what is it’s botanical name?