We recently took in a stray female dog. Every time we leave the house we have to put her inside because she will climb our fence but my father won't let her stay due to her size. Ideas?

We recently took in a stray female dog that we think is a short haired golden retriever, or a golden retriever/lab cross. She is house trained and is the most even tempered and sweetest dog that I have ever met. But there is one problem with her. Every time we leave the house we have to put her inside because she will climb our 4 and 1/2 foot to 5 foot privacy fence. We think it is because she gets lonely or was left alone a lot before we got her. We live close to the highway and I am scared she is going to get hit by a car. She never jumps the fence when we are out side or if we check on her every 1 to 2 hours. But my dad says that she can't live in the house and she is a big dog about 4 years old maybe.

She had been nursing recently or was done nursing pups when we found her. And when everyone leaves to go to school and work we have to leave her inside. PLEASE help us we don't want to have to give her away I really need help.