If you can do a drawing of a layout of your internal wall under the ceiling level and which way the ceiling joists run, you may get way with a shorter run of timber beam depending of the position of the wall.
I just checked again. The ceiling joists are 2"x4" and they do not run the entire length of the house as I previously thought. Intead they run to about the centre of the house (about 3 foot over the second bedroom). At this point they run side by side, parallel with the same kind of joist coming in the opposite direction. The two run together for about 18" (apparently well nailed together), before the first joist ends and the second continues to the other side.
The joists themselves, at the ends of the house, appear to simply rest on top of a large beam to which they are nailed - or at least the two that I could see do this.
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