What started smoking? If you removed those parts then they weren't doing it.
If only the pads came up that's no biggie as they only connect to the components.
If the PCB is burnt really bad, that fiberglass turns into carbon, and while fiberglass doesn't conduct, that carbon will. So it can be a vicious cycle where it burns and starts to conduct, so it burns more, so it conducts more, then burns more and on and on until it's just done itself in.
If the smoking is coming from some other place, you might be better off just going with a new board and just putter around with that one. If it's coming from the same area where U1 and D23 were, clean that up good and remove and charred PCB from there.