the first thing if you are going to do BLW is remember that the weaning is Baby Led. so, you're not really in charge any more. if that's going to stress you out and you are then going to try to feed her stuff from a spoon then you're not really doing BLW, just finger food and spoon feeding. which is fine, of course, but it's not BLW.
i'm really interested in what hattie says about her possibly rebelling against being fed too much and therefore throwing it up. it's one of the issues of control that is addressed with BLW, after all, babies don't have to rebel or wrest back control if they've always had it.
it's easy enough to cook chicken and veg for BLW. i normally get those chicken pieces (legs and thigh) and just whack 'em in the oven at 180 with a bit of foil loosely over then for about 35 mins or until they are cooked through. it's pretty much instant roast chicken, which is what dd likes best in the world. veg, you just cut into finger or chip-sized pieces and then steam. i've gone into all this in embarrassingly geeky detail on my blog \link{http://www.babyledweaning.com\here}
carrots are a good starting place, or whatever flavours she's liked up til now but in a more solid form. (actually, there's an interesting exercise you can do where you and your partner spoon feed each other your meals tonight. spoon, not fork. that gives you a good idea of what it's like to be a baby. it's deeply irritating, in my experience.)
i totally agree with harpsi, however, that if she's being sick then you should just dial back the food for the moment and concentrate on milk for a couple of days in case she's got a tummy bug, you've got plenty of time for solids yet.
(for the record, my dd has had a tummy bug for the last four days, no vomming, just di-horea-hi-hey like i've never seen before and it's been nice not to be stressed about feeding her. she clearly wants milk and milk alone, and who can blame her? don't get me wrong, i did phone the doc about it, but he said that there are loads of tummy bugs at this time of year and milk is the way to go. )
anyway, have rambled a bit but good luck with everything and hope that her eating settles down again soon.