The question is for a woman who prays seated because she is sick so she can’t make sujud. Will you please describe to her how to pray? She also has a little child who cries when she is praying so how should she pray with him in her arms?
As long as she is sick and she prays, she prostrates lower than in the bowing (تومئ برأسها), bending her head (her head with her shoulders). The bending for sujud (prostration) should be lower than for the bowing (ruku).
As for carrying children (while praying), there is no specific way to do it. Carry them as you wish, acting normally (in your prayer) without overdoing it.