Old Barrel Tea Company Menu Old Barrel Tea Company is the kind of place you stumble into while wandering through Cloudcroft and immediately feel like you should’ve known about it sooner. Sitting up on Burro Ave, it has that relaxed mountain-town charm where tea, light bites, and slow conversations naturally take over your plans for the day. Looking through the menu, it’s easy to picture a cozy break-warm drinks in hand, something sweet on the side, and a quiet pause from the crisp New Mexico air. What stands out is how unpretentious everything feels, like it’s meant for locals and curious travelers equally, without trying too hard to impress. It’s the sort of stop that makes you linger a little longer than expected, just to enjoy the atmosphere and watch time move slower for a while.