Not finding clean earth to perform Tayammum

Q: One day at about two O'clock in the afternoon, my mother had an acute nosebleed as a result of a blow. Her nose continued to bleed until half past four. She was taken to the hospital and injected with a nutritive solution. (Part No. 5; Page No. 359) The solution ran out at about 5:10 pm, a time when she wanted to offer the ‘Asr (Afternoon) Prayer. When the syringe was taken away, she could not make Wudu’ (ablution) due to severe complications which made her unable to move her head or even talk. There was no dust in the hospital with which she could make Tayammum (dry ablution with clean earth), and also a restriction against bringing in dust. A sick woman at the hospital suggested that we change her blood stained clothes, then to fold up a carpet on which mother would strike her hands for Tayammum. After she did so, she offered ‘Asr Prayer. Is her Salah valid? When it was time for Maghrib (Sunset) Prayer, she was able to go to the bathroom and perform Wudu’. She passed her wet hands three times over her face because there was a medical bandage tied around the nose and the surrounding area. She prayed while assuming a sitting position for a number of days. I used to help her perform Wudu’ as she was unable to move her head in any direction. Please enlighten us may Allah benefit you.

A: All praise be to Allah Alone, and peace and blessings be upon His Messenger, and his family and Companions. First: the act that your mother performed of hitting the carpet for Tayammum is valid due to the unavailability of clean earth. Second: passing her hands over the face bandage is also valid. Third: there is nothing wrong with helping your mother perform Wudu’. Fourth: there is nothing wrong with her praying while in a sitting position as she is incapable of standing. (Part No. 5; Page No. 360) May Allah grant us success. May peace and blessings be upon our Prophet Muhammad, his family, and Companions.