Answer
Daughter 2000, mother 4000, son 8000 dollars.
Work Step by Step
Step 1. Assume the girl got $x$ dollars; then her mother would get $2x$ and the boy would get $4x$ dollars.
Step 2. The total was $14000$; we have $x+2x+4x=14000$, which gives $x=2000$ dollars.
Step 3. Thus, the daughter got 2000 dollars, the mother got 4000 dollars, and the son got 8000 dollars.