Gripe water might be the right thing and if it’s really extreme and its causing alot of stress to the baby give panadol

I know a Mum who had a baby with a cough and took her to the Dr.
A few weeks later the baby had another bout of milder coughing than the first time. The Dr. ordered Xrays and tests which showed that the first time it happened the baby had had Pneumonia. The first time the baby was 7 weeks old

My son used a vaporiser with eucalyptus oil in it. Didn’t do much. After many Dr visits, he was diagnosed with bronchitis

We used a vaporizer with just water to sooth this, you can also elevate the bed slightly a bit like what you do for baby with reflux.

I really don’t mean to offend you but this is a type of question best answered by your GP. Do you really want to dice with bubs health ..seriously we are here for help and advice but some things need specialist care and this is one.