Not sure where the society garlic comes in, unless you mean the shape of the leaves.* Your plant looks like a Hemeracallis aka daylily to me.* There are over 40,000 named varieties.* The picture you show reminds me of one called Hemerocallis 'Rosey Returns'.* It's an everblooming daylily (explained below).
You might be able to ask the owner the named variety or for a division of the plant.* If the owner doesn't know the named cultivar and you want to try and have that exact one, another option would be to ask the owner when it blooms.* There are early season, mid season, late season, everblooming and reblooming daylilies (not as many in the last two catagories) and even those that bloom through more then one season.* It would help for you to know that info.* Try and note how many petals the flower has and measure the height if you can, as different cultivars grow to different heights.* If you still can't get that info you might try looking at sites like this one and try to find something similar.* Start by picking a color.
Some everblooming daylilies.* My daughter has some of these and they're great.
When weeding, the best way to make sure you are removing a weed and not a valuable plant is to pull on it. If it comes out of the ground easily, it is a valuable plant.