plaster walls dont cause any apparent obstacles for mounting tvs because you are mounting the bracket to the studs, not to the makeup of the wall itself. however, plaster is prone to cracking, so you have to be extra careful when you are drilling your pilot holes into the studs when mounting the bracket to the wall and dont over-tighten the bolts holding the bracket.
other than that, what everyone else said is true - as long as you can find the studs, you will be good. however, given the age of the house, there is no guarantee the studs will be 16" or 24" apart. it may be hit or miss, so tread with caution.
also, while it is only a 37", i would strongly recommend you hit two studs with the bracket and not one, even if it is centered. you dont want to take any unnecessary changes.
any questions, feel free to PM me.