Determining whether X chromosome from sperm or egg Is there any way of determining which X chromosome a female inherited from her father and which from her mom ?

yes it is possible... in placenta (trophectoderm) the paternal X is epigenetically silenced [[ref]](

That is if you do the test in the pre/neo-natal stage. Otherwise, at later stages, you have to check by DNA fingerprinting + karyotyping/FISH as Chris suggested.