If a cemetery can be said to be beautiful, Rosehill on Chicago's north side is the most beautiful cemetery I've ever seen (reviews of Rosehill, yes there are reviews). It's difficult to explain what it is about this cemetery that creates a sense of comfort and peace, but many Chicagoans visit and explore for hours, even if they have no loved ones buried here. I've heard more than one person say that Rosehill makes death seem less frightening. I agree.
Rosehill is also the largest and one of the oldest cemeteries in Chicago. It was established in 1859, so it was relatively new when the men of Battery A were buried here. The memorial was added in 1874.
From the History of Battery A, published in 1899 and republished more recently by Goolge.