Cryptic Family Reunion: Uneasy lies the head that wears a crown

The answer to this puzzle is a list of ten thematically related words or proper names or phrases. Each of these is clued cryptically, and the theme is to be determined. In this puzzle, the clues are in a specific order which also relates to the theme. Since the definition part of a cryptic clue would give away the theme, these cryptic clues use a family member (e.g., mom, sister) to stand in for the definition part of the clue. So for example, if the theme of the puzzle were chemical elements, "Sister picking at nit" would clue "tin". I hope you enjoy!

1. Cousin’s park for tigers has need after volatile countries’ embargo of llama tails (11,6,2,7)
2. Hesitation in a letter from Greece a clue for granddad (6)
3. Mom’s mom is rising (4)
4. Criminal rings broadcast untruth about uncle (6)
5. Brother will be in the house in 24 hours (7)
6. Sister solves density differential equations linearly, selectively skipping steps 1, 2 and 3? (8)
7. United arranging travel, Pop gets to Granny (5,5)
8. Mom is behind scrape up with Dad (5)
9. Nephew and steamfitter’s leader manipulating vote, with one Roman and one Parisian radical (6,5)
10. Auntie tosses oily guavas (10)