Good tea company names are original, fresh, and memorable. As you brainstorm a name, consider employing these methods to inject a little fun into it:
Alliterate (e.g. The Tea Terrace)
Use acronyms (e.g. AD Tea - All Day Tea)
Rhyme (e.g. Alice Pallace Teas)
Abbreviate (e.g. The Steeped Bros.)
Try another language (e.g. Tè d'Oro)