Renaming during adoption

Hello,

My question is what are everyone’s thoughts about renaming baby (under 1 year old) after adoption? I’m definitely changing the last name, but having a hard time thinking about changing the middle name as well.. she has no family connection to the one she has right now..

She was originally adopted at birth but her birth mother wanted her back days later. The previous adopted family could not adopt any longer so I am going to...