Is Pinkie Pie Mayor Mare's Secret Daughter?

common points:
1) very similar eye color
2) hair practically the same
3) the true color of mayor mare's mane is pink (why dye it? maybe it's hiding something?)
4) pinkie pie has a very well organized secret archive, like a municipal archive, I think it's a strange thing for a pony born in a stone farm

My theory is this, when mayor mare was a young mayor she had a relationship with someone, and since this could bring problems to her political career, she tried to cover it up by sending her daughter very far away. the reason why she dyes her hair could be that, with the return of pinkie pie to ponyville, perhaps the rumors that circulated in the past about an alleged son of the mayor will return. the fact that mayor mare gave the little pony to the pious family could be a simple favor, or perhaps in exchange for some favor from the mayor, such as the cancellation of sanctions or permission to expand his stone farm. there is a second slightly shaky theory that i thought, considering that mayor mare was very good friends with pear butter, later welcomed into the apple family after she got married to bright mac, it could be that mayor mare asked the apple family for help hide their son, and by talking to others in the family they managed to find someone who would take care of him, i.e. the pious family, but this second theory is based on the fact that there is a link between the pious family and the apple family, as seen in the episode "Apples to the Core". if you have any ideas or something to say, I'm very curious to know what you think.