the house of the bees is called a hive.
beehive
Bees A place where bees are kept.
wax house
beehive
hive
Young bees are often referred to as "larvae" or "pupae" during their developmental stages, but they are not called kittens or house bees. The term "house bee" usually refers to worker bees that stay in the hive to care for the queen, larvae, and hive maintenance. In contrast, "kittens" is not a term used in beekeeping.
In many cultures, bees are considered to be good luck. Others believe that a swarm of bees on a house means that the house will soon catch fire and burn down.
Bees may be entering the house if there are open windows or doors, or if there are cracks and holes in the walls that they can use to get inside. They may also be attracted to food or flowers inside the house. It's important to identify the entry points and address them to prevent bees from coming in.
The bees have somehow managed to get into your house and have tried to get out again by the (presumably closed) window. They would eventually starve and what you have found is dead and dying bees.
A bee's house is a Beehive.
No, but the comb can cause extensive damage if sizable & the bees die in other areas. A wall for example.