You should study the JMP Scripting Language guide from Help > JMP Documentation. Pay particular attention to the material about JMP windows, display trees, and display boxes. A script based on the Big Class sample data table illustrates how to find and refer to Table Box objects with your desired results. I produced a raw data table with the items you want. You can now remove any unwanted columns. You could instead get the number column box contents and take another approach.
Names Default to Here( 1 );
dt = Open( "$SAMPLE_DATA/Big Class.jmp" );
obj = dt << Life Distribution(
Perspective( Compare Groups ),
Y( :weight ),
Grouping( :age ),
Confidence Interval Method( Wald ),
Select Distribution( Distribution, Weibull ),
Select Scale( Weibull ),
Tabbed Report( 0 ),
By( :sex )
);
rpt = obj << Report;
parm = rpt << XPath( "//OutlineBox[contains(text(), 'Parameter Estimate')]" );
parms = parm[1][1][TableBox(1)] << Make Combined Data Table;