Leaves grow to roots, water flows from heaven to earth, rivers and seas flow, and people get the elixir of life and beg their mothers to get sick. What does this mean?

According to the information you provided, the phrase "leaves take root, native water grows and clears the source, rivers and seas flow, and people get the elixir of life" expresses an image of natural growth and returning to the source. It can be understood that everything has its source, just as leaves come back to their roots and water flows like a river, and people can survive for a long time after getting the elixir.

However, there is no direct reference to "mother's illness" or anything related to the disease. Therefore, it is impossible to draw a clear meaning or prediction about the mother's illness directly from the signature.

Please note that autograph is only for reference and should not be regarded as a medical diagnosis or divination tool. In the face of your mother's illness, I suggest you communicate with your doctor to get the most accurate and professional medical advice.