Is it possible to make the name of combined layers the bottom one's?

Yet another approach, this time select the bottom layer, then run the script. Enter into the prompt the number of additional layers to select above the bottom active layer.

This version runs in ~1 second, much better than my previous 7 and 4 second scripts.

There is no error checking to ensure that nothing bad happens if you enter a number longer than the length of available layers.

/*
Is it possible to make the name of combined layers the bottom one's?
https://community.adobe.com/t5/photoshop/is-it-possible-to-make-the-name-of-combined-layers-the-bottom-one-s/td-p/12016052

Target the bottom layer, then run the script to select all required sequential layers

Selected Layers to SO Named After Bottom Layer.jsx

v1.3 - Stephen Marsh, 7th May 2021
*/

#target photoshop

function main() {
    // Capture the active layer name
    var lyrName = app.activeDocument.activeLayer.name;

    // Enforce integer input
    var origInput;
    while (isNaN(origInput = prompt("Enter number of additional layers to select:", "1")));
    var inputToInteger = parseInt(origInput);

    // Loop forward layer selection N times
    for (i = 0; i < inputToInteger; i++) {

        selectForwardLayer(false);

        function selectForwardLayer(makeVisible) {
            var c2t = function (s) {
                return app.charIDToTypeID(s);
            }
            var s2t = function (s) {
                return app.stringIDToTypeID(s);
            }
            var descriptor = new ActionDescriptor();
            var list = new ActionList();
            var reference = new ActionReference();
            reference.putEnumerated(s2t("layer"), s2t("ordinal"), s2t("forwardEnum"));
            descriptor.putReference(c2t("null"), reference);
            descriptor.putEnumerated(s2t("selectionModifier"), s2t("selectionModifierType"), s2t("addToSelection"));
            descriptor.putBoolean(s2t("makeVisible"), makeVisible);
            list.putInteger(2);
            list.putInteger(3);
            descriptor.putList(s2t("layerID"), list);
            executeAction(s2t("select"), descriptor, DialogModes.NO);
        }
    }

    // Convert the selected layers to an embedded Smart Object
    executeAction(stringIDToTypeID("newPlacedLayer"), undefined, DialogModes.NO);
    //app.runMenuItem(stringIDToTypeID('newPlacedLayer'));

    // Rename the SO layer
    app.activeDocument.activeLayer.name = lyrName;
}
app.activeDocument.suspendHistory("Run script", "main()");