It would be UNBELIEVABLY special and unusual, because the last dollar coins bearing a picture of Miss Liberty were struck in 1935. The U.S. did not make any more dollar coins until 1971.
Draped Bust dollar coins were struck in 1797, but no "Lady Liberty", matter of fact, no US coin is called a "Lady Liberty". A real Draped Bust dollar of this date is $1,500.00 to $40,000.00+...