@Lorna170 What I'm saying is that a 1099, whether one receives one or not, has no bearing on how you report your state and local taxes. You, of course, have to track your receipts for your State or County, for filing of those taxes, since, as you correctly state, they do not receive records from Airbnb against your Tax ID.
State and Local taxes are generally filed either monthly or quarterly, depending on jurisdiction.
A 1099 document is only issued once a year at year end, following the threshhold requirements, and is sent to the Federal Government. It only contains information about what you earned - nothing about state and local taxes. It has your name, address and Tax ID on it.
The OP here was asking why the IRS (Federal Government) has no record of her Airbnb income. It's because no 1099 was sent by Airbnb to the IRS since she did not meet the required threshhold. Currently that is $20,000 in Revenue and 200 transactions.
That is all going to change in 2022. For the 2022 tax year, 1099's are going to require to be sent to the IRS (Federal) for everyone earning $600 or more from Airbnb. Actually, they will be due January 31st, 2023
If folks don't already have a W9 form on file with Airbnb, they should get one filed, or they may be subject to backup withholding of Federal income taxes. Again, nothing to do with State and Local taxes.