I do no think you would get a 1,400gr. ball moving 1,900fps, with any powder charge, let along one that could be fired from the shoulder.
The highest speed I could get out of my 14 bore, was 1,770fps & that was with 320gr. of powder. 200gr. gave 1,700fps. The equivalence of powder
to ball weight in the 4 bore to get 1,770fps, would be 924gr., which is 33.8 drams. Event the 200gr. load that gave 1,700fps would be .415's ball weight,
which is 581gr. of powder, which is 21.3 drams. The max load is listed at 16 drams, which is plenty (plenty too much) at 436.8gr.
I highly doubt anything much over 1,500fps is possible from a 4 bore - with black powder, that is.
Here is a 6 bore flinter. The top one, that is. 6 bore is .920"- ball weight at that bore size, is 1,167gr. A 7 bore ball, of .873", is 1,000gr.