Is it possible that Leia got her title of " Princess" from both her biological mother and foster mother since they both were Queens.

No. Padmé was an elected queen. After her reign ended, she went by the title "Senator Amidala" It's just a coincidence that her mother was once a queen and that she was adopted by royalty. Just like Padmé 's mother was not a queen, Padmé 's daughter would not have been a princess.
Luke's not a prince.....

The title of Princess had to come solely from her adoptive family, because the entire point of her being adopted was to keep her biological family and identity a secret