I'm Lucy, and I'd be happy to answer your questions today. I'm sorry to hear about your situation.
If you're going by a name that doesn't match any of your ID, then that's something that should be corrected, even if you hadn't lost your ID. But it's a fairly simple process. You do not need your ex-husband's consent to change your name legally. The courts have forms you can fill out asking to waive the fees if you can not afford it. You do not need to pay a lawyer to do a name change for you, nor do you need to notify your ex husband. There are some basic forms available on this website, but call the clerk of the court to see if your county has specific ones you need to use. Also ask them about the fees and how to get a waiver.
If the name you're using is one you took on after marriage, then you can use your marriage license to request an ID, along with your birth certificate and other documents. Or if the name is ***** ***** took on as part of your divorce, call the court where you got divorced and ask them how much it will cost to mail you a copy of your divorce decree (usually just a photocopying fee, so not much). You can request marriage records here, and you do not have to live in CA to get them.
The other option is to get new ID using the name on your birth certificate and social security card so you can get a job, then simply use a different name informally until you have the time and the money to get a legal name change. Since you do not have a photo ID, you'll need a third form of ID to prove who you are, which can include your divorce records, a bank card, and other documents. Here is a full list:
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