Though Tish gets you started on your furniture crafting journey, she'll have more recipes for you to purchase if there's a specific recipe you're looking to get but haven't been able to come across it just yet. To purchase new recipes from her, you'll want to open her shop by speaking with her or opening the store at her furniture shop in the town square.
She should have a collection of recipes for purchase, which you can buy with either Skill Medals or coins. You'll probably want to save up if you're going this route, though — and the only way to get Skill Medals is to advance that particular skill (which means crafting more furniture).
Basically, if you want more crafting recipes, the best way to do this is to craft as much as possible.