I would get your blood pressure checked if I were you. Although hypertension (high blood pressure) generally causes no obvious symptoms until it is very high indeed (this is why it is called "the silent killer") a combination of headaches and nose bleeds are potential symptoms.

However, it is also the case that stress can cause headaches and the nosebleeds could simply be the result of not heat, but dry heat.

Humans are actually extremely well equipped to deal with heat - so long as we have a plkentiful supply of water, we are actually able to withstand high temperatures far better than many other animals. This is partly because we are able to sweat across our whole skins and lose heat very efficiently.

However, dry heat can have the effect of drying out the membranes inside the nose. These have a very rich blood supply via many small blood vessels, called capiliaries. These small vessels can rupture very easily and will therefore bleed.

A nosebleed of this type originates from the anterior (lower) part of the nose, on inner surface area of the bit that separates the two halves of the nose. This is called Littles' Area. Most nosebleeds originate here and they can be caused by many things, including dry heat. Some people get bleeds at night when the breathe through their noses during lseep, the area dries out and bleeds.

However, nosebleeds should not be ignored, espescially if they persist or are accompanied by other symptoms.

If dry heat is the cause, a simply solution is a humidifier, or even just some bowls of water left ot evaporate. The inside of the nose drying out can often be treated by just applying Vaseline to the area. However, you should see your GP first before trying home remedies.

It is quite common for elderly people to feel the cold more. This is often due to poor circulation. Also, some people with dementia appear to lose their sense of hot/cold, and will feel "cold" even if their bodies are obviously hot and sweating. They need to be watched carefuly since there is a risk of over-heating, particularly in people who wrap up, because this prevents heat being lost from the skin. It might be worth asking for a health check to see if there is an underlying cause for your mum feeling cold.