I felt the same after DD1 and so did DP. We felt a bit guilty having DD2 thinking we would be taking away from DD1 however after she was born we realised we were giving to her. DD1 adores DD2 and we found that there is extra love to go around. It doesn't get any less for the first child.

Time can be an issue especially with very young babies but it has helped DD1 learn to wait and be patient. It has also improved her relationship with DP as she will ask for him first sometimes - previously it was always mummy and now daddy sometimes gets preference.