You must have been lucky to make it to the mountains and not learn that preparation is everything in this game.

Kind of shocking really since you need the eggs so you have to explore quite a bit.

Did you use the map thing online to find the boss spawns?

Do you have onions and the proper level mountain food yet?

Why didn't you put defenses up around the boss spawn to stop adds?
like just dig holes and drop golems into and they can't spawn again... trench to prevent wolf attacks

Frankly it sounds you looked up the boss spawn and then consoled the eggs to put in, Drauger and skeletons are common in mountain towers but that is also where the moder ID stones typically are along with onion seeds... so I question your even exploring.

Game is unforgiving for the unprepared.