Is there a visa extension for non-Thai parents raising their foreign child in Thailand?

A participant in a thread raised a question about whether there is a visa or extension available for non-Thai parents who have a child born in Thailand. Responses indicated that there is a clause that allows foreigners raising their foreign children in Thailand to apply for a one-year extension, although it seems to be primarily for those whose children are already in school. However, there are instances of foreigners with very young children also receiving this extension.