I'm doing a nursing degree and I can tell you it's tough, especially if you want to do well.
We had a conversation with our lecturer today regarding what doing a masters in nursing would be like. We were told, if you get a first or 2:1 you will be fine, 2:2, may struggle, and as for 3rd, basically high chance you just won't be able to cope academically.
I am on track to do very well, but I certainly don't feel able to cope with the demands of a Masters. Be aware that academically it is going to be very demanding. I know someone currently doing a Masters and the level you are expected to work/ write at is very high. Different league to BSc.
Lastly, your child is very young, having studied with young children, I know it is really tough, maybe you should wait till your child is a bit older?
Just a suggestion, but why don't you do a nursing degree (but be aware it is unbelievably highly competitive to get on a course now). There is no tuition fee, you get a means tested bursary and help with childcare. Once you've finish your degree, you practically have a job waiting for you, especially if you're in London. At least then you get a good foundation and then after working for a while, if you want to do a Masters you can and would probably be much better equipped to cope with it. I believe you'd have to pay for it though.
Hope that helps. Best of luck.