I finally have a name for Inko's shop. The reason the shop's name is important is because I plan on giving it to Izuku later on.
The name I chose is Celtic in origins to go along with the language in the healing spell book. The name is 'Tir na nOg'.
Here's a link so you can learn about it.

https://www.learnreligions.com/the-irish-legend-of-tir-na-nog-2561709

I'll be going back in a little bit to put the shop name in the chapters.