Yes, Texas State Continuation has notice requirements similar to the COBRA general notice and COBRA election notice.
The notice requirements are mentioned in the Texas Administrative Code and Texas Administrative Code.
TDI also mentions this requirement on its website: https://www.tdi.texas.gov/pubs/consumer/cb005.html
Your employer must tell you about continuation of coverage within 30 days from the date your job ended.
Unfortunately, there is no model notice for Texas State Continuation.
Here is a PDF from TDI that discusses continuation options for employees: https://www.tdi.texas.gov/hmo/documents/enrolleecobra.pdf