Your family looks wonderful! My sister and her family went camping one time and was adopted by a German Shorthair. They were sure he belonged to someone so checked around until a ranger told them he had been around for a while and no one admitted to owning him. So my BIL said, "He's ours now." And they took care of him for many years. He was such a great dog, we couldn't believe anyone would leave him behind.
They are big into greyhound rescue so this was a no brainer.
You have been a great person taking on these fur babies.