Cendrine
This name is on the French charts. I have read it means little ashes and relates to Cinderella, through the word Cendrillon. It ranked from 1963 to 1981 and was given to the author Cendrine Marrouat, born 1978, and children´s writer Cendrine Wolf, born 1969. I also found a French actress Cendrine Chatrefou, known for known for Travelling avant (1987) and Les nouveaux tricheurs (1987), who I assume was also born when the name charted. I also found it on a doctor, presumably an American, a French lawyer, and some others.

“The best and most beautiful things in this world cannot be seen or even heard, but must be felt with the heart.” – Helen Keller
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Looking at it, it does look like a diminutive of cendre (https://en.wiktionary.org/wiki/cendre#French), which you can compare the name's make-up with Sandrine.
Which leads me to this next point - both Cendrine and Sandrine are pronounced the same and if you look at this chart (https://www.behindthename.com/name/sandrine/top/france?compare=Cendrine&type=percent), you would notice that Cendrine came to be used most often when Sandrine was at its peak.
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A French folk etymology of Sandrine then?
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If it helps, I found two French language name sites that consider Cendrine a spelling variation of Sandrine:https://www.magicmaman.com/prenom/cendrine,2006200,1189127.asphttps://nominis.cef.fr/contenus/prenom/1123/Sandrine.html
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