Find my phone
My mom lost her phone she doesn’t remember her iCloud username or password. I only have the SIM number
iPhone 11 Pro Max
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See if she can recover the ID/password. An iCloud e-mail address is an Apple ID. Use every email address she can think of.
Apple ID - How to find your Apple -
Other ways to find her Apple ID
She can also go to iCloud.com or appleid.apple.com and see if her Apple ID prefills on the sign-in screen.
If she forgot the Apple ID (iCloud) password, enter the Apple (iCloud) ID, and click Forgot Password. See if she can get a Rescue or Notification email option if necessary. Link to contact Apple Support at the end of the 2nd article.
If she has 2 Factor Authentication enabled, if she can't recover the password using the steps above, she will need to use Account Recovery. The Recovery Process is an automated process and the length of time it takes can vary a lot. Apple ID Support can only answer your questions. They can't intervene in or speed up the process. The article below has some suggestions to shorten the time the process takes.
Apple ID - Recover your Apple ID with two-factor authentication account recovery. *
If she has changed your password, has she followed the steps in this article on all devices/computers?
What to do after you change your Apple ID or password - Apple Support. *