Is it possible that Leia got her titre 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 par the titre "Senator Amidala" It's just a coincidence that her mother was once a Queen and that she was adopted par 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 titre 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