I see this latin word used in many botany names as the species name, of genus-species. Google translate said 'National Forest'. I'm skeptical.
What is the translation to English of engelmannii?
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It means Engelmann's, using the Latinized form of that name, Engelmannius. Engelmann is a common German surname, but the likely namesake of the plants you encountered is Georg Engelmann, a prolific German-American botanist.
Google Translate shines as usual.