I have Asthma, since childhood.
During bad bouts of it, I have used both a nebulizer AND an inhaler and/or Prednisone.
There are many types of medicines which are inhaled and many types of inhaler meds.
Some are "corticosteroids" and some are not.
The reason a person wheezes, is because they airways are inflamed and thus, constricted. Thus, breathing is difficult. It is not due to mucus. It is the constriction of the airways. Thus, a person "coughs."
Inhalers, are as I said, different kinds. Some are "maintenance" inhalers, and some are "rescue" inhalers. Each has its own, behavior and purpose.
With inhalers, it is not a one sized shoe fits all. Each individual is different. Hence, some may use one type of inhaler, and another person uses another type.
Though wheezing/asthma can be triggered by environmental aspects, this is not always the case. Keep that in mind. And, some people get Asthma triggered, by having a cold or the Flu. Or by stress. Or when the weather is cold. And while "sick" with Asthma, it can also develop into Pneumonia etc. Because the lungs are weaker. So you must safeguard your child, while Asthma is in its active or acute, stage.
Keep her away, from people that are sick.
Bear in mind, that Asthma attacks are like being suffocated. The person cannot breathe. Hence, the body/blood stream/lungs, lack oxygen and the body is not properly oxygenated at ideal levels.
And you cannot predict, an Asthma attack. Or lack of breathing.
IF your baby, ever turns blue in the lips or fingernails... this MEANS, that the child is not getting, adequate Oxygen levels. And this is cause, for taking her to the ER. Pronto.
Likewise, if your baby is breathing very shallow and quickly and her lungs suck in... you NEED to get her to an ER. Right away. Or call an ambulance.
Also keep in mind, that per Albuterol based inhalers.... there is also, a liquid form. Which is often used for children.
ALSO keep in mind... that with Inhalers... these things are often, mis-used. Meaning, people often take too many "puffs", thinking that more is better. But that is false and not the proper rationale of inhalers. Taking too many puffs, can lead to overdose. Dosage, and proper use of inhalers, are very important.
You need to take your baby for a follow-up, or to an ER, or to a Pulmonologist.
You did not say, how old your baby is. But keep in mind, that baby's lungs are immature. And can therefore, be affected more. Baby's and children, sometimes display different symptoms, than adults.
Also bear in mind, that medications/Inhalers, sometimes you have to try different kinds, to get the best "fit" for your child.
Also, think about getting an air purifier for your home or for her room.
For a baby, they cannot use an "inhaler" properly or ideally.
Because, they are young and they need to exhale, then inhale it, then HOLD there breath for 10 seconds. A baby cannot do that.
Hence, maybe that is why, the inhaler is not working as well.