I've thought about this before, A lot. I've studied the Drake equation quite a bit. If we take the Drake equation And just bust it up into an output you can only get a rough estimate,
But, Based on the Drak equation, There should be around 140.000 <- not a typo, intelligent "Like us" species just in the milky way alone. "The milky way is quite vast" That estimate is actually very conservative... Here is a page about that for those interested,
Here's How Many Intelligent Alien Civilizations Might Live In Our Galaxy
I assume The Thirst for knowledge is present in all intelligent life, So My assumption is, they are mapping the cosmos as well...
On another planet, Our star would be known by a different name, It would be part of some constellation or pattern they use for mapping the cosmos. If they don't have stories about Us, I'm sure they look out into the cosmos and wonder about us, The same way we wonder about them.
Sometimes People talk about "Space Brothers" But in this sense, It makes us think about how alike we all really are, Even on those distant planets, They share the same celestial cosmos as we do, Perhaps, We have even looked at the same stars they look at and wondered the very same things.
At least, I like to think so.