Well, all of the previous answers already mentioned the upcoming scam and danger situation for your financial position. I thoroughly read all answers and wanted to add a few more lines on it. Cort Ammon) already shows details of it.
Any kind of financial transaction involving a complete stranger is the first big scam tag that shows up and this should always 'Never Fall In' type situation.
If you open a new bank account or give away any existing bank account to this lady, other than just losing some amount, you might pay earlier than clearing checks you deposited on behalf of your 'stranger' partner.
Depending on their target/plan/experience with your bank account they can make you a victim of a bigger crime. There is a full length of scam plans, like sending you false checks to deposit and ask you withdrew money to send them back to even having very big incoming transaction to your account sitting idle on your account which might originate from a crime beyond the financial domain.
You can try to be smart, thinking in mind, well, let them send some, I will never send them back before bank declare the deposited checks got horned and clear (and send back the amount after keeping your share). But, still you will face problems later. Even if your account fills up with real money and after confirming with bank you find it OK and never return them (scam a scammer). Still you will not have any valid authority or answer describing how/why you got this money if someone ask you later.
Depending on scammer's ability, they might even give you control over fund to spend for your own (to gain some trust from your part). On this type of scam it is a sign of an even bigger danger. I live such a country, Bangladesh, from where recently they successfully transferred out around US$10 millions using a bank account of an outsider like you keeping in between source of money and final unknown destination. The result is the owner / operator of those accounts used for these transfers are now under law enforcement pressure, not only just to find out where ultimately money has gone, but for sure they will face some degree of charge for helping transfer of illegal money overseas". For someone who is not part of a full scam chain it is a big deal. It might ruin their life forever.
To be on the safe side, and help protect others from falling on the same type of problem you may contact your local law enforcement agency. Depending on the situation, they might be interested to run a sting operation using your information and support to catch and stop the crime going to happen soon or later.
I would give a rare chance of 2% legitimate reason for anyone to use a third-party bank account to pay some other living either different country (still it is not legal, but a lower-type crime). But obviously they will not ask randomly over the Internet/social network sites. In your case this is a real scam.
Be careful and stay safe; Good Luck.
