As usual, IANAL, but I did find this online:
http://legis.la.gov/lss/lss.asp?doc=109812
"Art. 2747. Contract of servant terminable at will of parties.
A man is at liberty to dismiss a hired servant attached to his person or family, without assigning any reason for so doing. The servant is also free to depart without assigning any cause."
Past that, I couldn't say.