What visa options are available for a parent wanting to reside in Thailand with their child who is working there?

If your daughter is officially working in Thailand on a Non-B visa then you should be able to apply for a Non-O visa as her dependent, you must also be over 50 years old. There's quite a lot of paperwork required including from the company your daughter works for.

You'll find details on the Thai embassy website in your home country. DTV may be an option or Non-Imm O if over 50.

a mother cannot get a spousal dependent Non-imm-O visa from her child. Only possible vice-versa. You would need to apply for the 90-days Non-Imm-O Retirement visa if you are already over 50 years old and can fulfill the financial requirements, in your home country. Enter Thailand on this visa, get stamped in for a 90-days stay permit, open a Thai bank account and transfer a minimum of 800,000 TH B onto it. From up to 30 days before the expiry of the initial 90-days stay permit, you can then apply for the "1-year Extension of the Temporary Stay Permit based on Retirement"