What do you mean with "internet marketing"? I know what a marketeer does: trying to sell more of whatever his company sells. But it's not about selling internet, is it?
How about web designing and programming? Or some customer service job (answering phones, mails, apps)? Or, something totally different: guest parent, caring for children of other mothers while they work elsewhere?
Aside from doing internet marketing, please share your suggestions on what type of home business a mother can do?