Oily skin is common and can lead to pimples and acne. The symptoms are so shiny skin, big pores, and sometimes breakouts. The cause of oily skin is the excessive sebum production by the skin. Salicylic acid face wash to unclog pores will suffice for this purpose. Oil control is also possible with a serum containing niacinamide. 

The use of rosemary water for hair is quite beneficial. Rosemary shows the potential for increasing hair growth and stopping hair loss with its properties. It is a common method used to reduce dandruff and improve scalp health. Nevertheless, in case of any skin reaction or allergies, avoid it. Before applying it all over your scalp, it is crucial to try out a small area first. 

Your description of the symptoms leads me to believe that your mother has a skin condition called eczema. Eczema is characterized by the appearance of red, itchy patches on the skin. It can be caused or aggravated by certain substances or environmental factors. To alleviate the symptoms, it is necessary to maintain the skin's hydration and avoid irritants. Using mild soaps and wearing comfortable, breathable clothes can also be helpful.

Creamy cleanser( low level of PH)  will be good for skin that is dry  and for part of your skin that is oily(nose) foaming cleanser will be good. But use moisturizer later. I hope this proved helpful. 

It is hard to diagnose your balding without a professional examination. If you are worried about hair loss, you should visit a dermatologist who is a specialist in hairs loss problems. They can analyze your condition and give you optimal care.
 

Your daughter most probably has a skin infection called Impetigo. A painful, red spot with white spots around it is a symptom of this illness. This is due to bacteria entering the skin, which usually happens when a cut or insect bite is present. To deal with this issue, keep the area clean, apply antibiotic cream, and cover it with a bandage. Make sure she doesn't scratch it to prevent spreading the infection.