Remember, if blood in the elbow joint - refer because of possible supracondylar fractures. Different categories of fractures for which treatment can vary. More severe types such as overriding, fragmented fractures . High risk of growth arrest. Splints must be applied carefully if used.
Finger needs to be in position of function.
Orthopedists here put cotton between fingers and tape. May need open reduction. If can't tell whether fracture present, or if symptoms severe.