There are several christeneing records for a Janet BENNETT in Midlothian including:
c. 21 Feb 1692 Dalkeith Parents: John BENNAT, Christian MANTEITH
c. 1 Feb 1696 Newton, Parents: Rot. BENNET, Christian SMITH
c. 14 Jun 1696 Lasswade, Parents: James BENNET, Marion JOHNSTOUN
and there are several other less trustworthy IGI records.
It was suggested by email that the parents were Robert BENNET and Christian SMITH, however I have not confirmed this independently.