I found this question and answer on www.beatricearthur.com under fibs + facts

Q. Was there bad blood between Bea & Betty?
A. false, however, people believe what they want to believe.

Betty White on Bea's passing: "I knew it would hurt, I just didn't know it would hurt this much. I'm so happy that she recieved her lifetime Achievement Award while she was still with us, so she could appreciate that. She was such a big part of my life".