Woah!
That trimming (not trimmer Nose
) joist looks like it's actually been cut close to the bearing? Whatever the reason, it's not there to provide direct support to the stack following removal of the masonry at ground floor level: it just supports the trimmer and trimmed joists around the stack.
Nose's suggestion is a good one, although that still leaves the issue of the stack and how to support it.
Assuming that the stack will be staying, then, before you put in the additional timber per Nose's suggestion, place a 152UC23 within the floor depth, running under the outer brickwork to the stack. This will mean having to cut through the trimmer to the left hand side of the stack and putting this on a hanger. Then put double timbers 6x2 into the web of the beam and built into the external wall under the stack walls running north south. Pack up between steels and timbers and the underside of the stack masonry with slate packing as necessary.
Then you can run the new 7x2 to pick up the end of the short trimmer and span this between the beam and the adjacent 7x2. Build into beam web; support off hanger onto joist.
Steel beam bearing direct to flettons will be fine, no need for any padstones.
HTH. Damn, I've just seen the time....nighty night!