For example, If I look at an HTML tag in the Developer Tools of Chrome, FF, etc., is there a way for me to see where in the DOM an item is located with the level that I could use for a CSS selector?
If I go to a tag, it might have parent tr nth-child(4)...
I looked Chrome's Properties. Is that what I am seeking?
You might not see it initially, but if you click on the Node in Chrome Developer Tools "Elements"-Panel and select Copy -> Copy XPath, you will have the Path copied containing the index of the element like this:
=> 2nd item