It means to show affection, normally it is when someone shows slave-like flattery; normally, when they are trying to gain something. Basically, it sucking up to someone or simping.
All if his fans were fawning over him at the meet and greet.
Many employees fawned over the CEO at the dinner party, hoping to get on his good side.
The act of women trying to walk in expensive, uncomfortable high heels after a long period of drinking whilst thinking they look classy; not dissimilar to a new-born deer struggling to take its first steps.
After a big day at the horse races you will see a lot of drunk girls fawning their way to the taxi rank.
"Look at those women fawning home from the nightclub!"
usually a big girl with a bigarse and big thighs bubbly humor normally conceptional cleaver this is noticable by having a large head compared to their bodies