Good luck Sophie. We are recruiting but looking for low level analysts with a degree in economics, or high level people with a book of consulting for Asia, so not really relevant to you.
All our high level people have come from the "friend of a friend" route so I agree with what everyone here has said about networking, but you do need to network with the right people - for example, you could try the AmCham committee meetings (American Chamber of Commerce (Hong Kong) - Home) - the one I go to which is not your area is open to all, you just turn up and listen to the meeting, but if you find one slightly related to your area you might find it starts a chain of networking that helps.
PS - you don't need to be american to go to amcham!
And PLEASE ignore all those people who think you should be spending time with your children! I actually find such comments really insulting but no doubt will get red blobbed for saying so!
If you want to work you have EVERY RIGHT to look for work and I am sure as a professional you have already spent time thinking about childcare options etc and I think that's all your own business.
Best of luck.