Had a same experience with one of my friend, who was blacklisted for 5 Years, but not only because of overstay. However, he came back after 5 years and 9 month. Like many people recommend. Nr. 1 try to apply visa online, Nr. 2 Check with the immgration.
Nr. 3 try to get a cheap Thai lawyer, who can check on this matter, etc. My friend told me that the first 3 months when he was back, it was a bit of a headache for him, as the immigration kept eyes on him. But now he lives here for a while, without any further problems. Hope you can stay with your daughter and family soon. Wish you good luck