Mommy blogs are common in Europe, the US and South East Asia. I have not read about an Arabic equivalent, although a decade ago, I know Persian was in the top ten language blogs were written in. Does anyone know of work on this?
First resource: Walid AL-SAQAF . He's a Yemeni publisher / blogger who ran into trouble with the authorities and then built his own circumvention software that is now widely used in the Arab World.
Dr. Rasha Abdulla is a communication scholar in Egypt and might well have resources, suggestions.
I don't think any mommy, in or from the Arabic world, would be allowed to blog by the authorities or male guardians they have in whatever manner. If you wish to research this subject area, I wish you all the best. I think you are going to explore a huge gap in our social media knowledge. Conversely, the research question can be set like: Why don't Muslim mothers (in the Mid East) get active on social media even when there are certain illegal ways to do so; and what is the specific scenario with blogging by Arabian background mothers?
Please also see the links I found ... it is not specific but interesting.