Is there a way to merge layers with the same name inside a Photoshop document?

simply press cntrl +e by selecting both layers

photoshop always selecting top layer name after merging

Yes it's possible because the photoshop is merging the same name and same document in one layer.

photoshop always selecting top layer name after merging 

or

simply press cntrl +e by selecting both layers

yes

3 wayes

1- mager layers

2- group layers

3- linked layers

https://www.youtube.com/watch?v=2eJovrkhGuU

yes, it's possible to merge layers with the same name in the same Photoshop document

u can click on CTRL+E and it will merge layers

You could just use Layer Groups and place similarly named layers within groups

Yes Merge Layers inside the Photoshop