If both parents applications were sent at the same time, then, both applications should be processed at the same time, especially, if both cases have the same USC petitioner (you). Please confirm CIS has not requested additional evidence "RFE" from the parent whose EAD has not been issued and that it has not made a decision that the parent is not eligible to adjust in which case, no EAD will be issued. Make an Info Pass inquiry with your local CIS office. Occasionally, up to date information is not shown at the uscis web site.
Answered on Apr 10th, 2014 at 8:30 PM