T-Rex goes cooking

Question

_{This puzzle is part 3 of Gladys' journey across the globe. If you're new to the series, feel free to start at the beginning: "Introducing Gladys".}

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Dear Puzzling,

<p>Today I visited an important historic site from the Civil War era. This is the first of many museums I expect to be seeing on my trip. The puzzle looks a little like a tyrannosaurus wearing a cook's hat, don't you think? Have fun! I'll write you again soon from my next destination.  </p>

<p>Wish you were here!<br>
Love, Gladys.</p>

Across
1. Cry
4. Loathing
7. Infuriate
8. Fred's frequent partner
9. Hoover or Poe
10. Evil glances
11. Doctrine
15. Old cloth or Joplin piece
16. Glide across ice
18. Bourbon ingredient
19. The Crocodile Hunter
20. Naturally illuminated at night
21. Football legend

Down
1. Waller's piano style
2. Cointreau flavour
3. Panhandler
4. Male pronoun
5. L.A. player
6. Grown-up fawns
11. Renounced
12. Elderly women
13. Mousepad or yoga cushion
14. Become older
17. Whale food
18. Cut a photograph
19. Woman turned into a cow

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_{Gladys will return in "Devoted to high culture".}

Answer 1

She is at

Tredegar Iron Works

Filled in crossword grid

And the path (thanks to w l in the comments)

You need to get each snake to eat all the apples in their grid

Answer 2

Partial Answer

Down:

14: Become older

age