Looking into inversion, I found a website listing different types of inversion, but I can't understand intro adverbial.
The website says that inversions in this case are optional, and gives the following examples:
Into the room ran the lady.
First comes love, then comes marriage.
After A comes B, then comes C, next comes D.
Down came the rain and washed the spider out.
Now, these examples are extremely hard for me to "restructure", I hope I can receive some help, this is the best I was able to come with:
Into the room, the lady ran.
First comes love, marriage comes then.
After A comes B, C comes then, D comes next.