Timpanist here (German, using low-pitched instruments on the right).
Looking through a lot of sheet music shows me that usually, baroque/classical music shows the timpani in descending pitch order (D, A for d/A (D major) or D, G for d/G (G major) etc.). This tradition continues mostly into the romantic and modern era, but gets a lot more flexible - mostly because timpani can (and will) be tuned to different pitches during the piece anyway, so there is no sense in adding the pitch to the instrument name.
For example, in Balakirev’s “Russia”, the initial pitches are denoted as “B, F, D, A”, meaning d, B flat, A, F - so they are grouped by musical characteristics, not by pitch. Smetana’s “Vltava” shows timpani in “E, H” (e, B natural) with a retuning to “A, D” (d, A) coming up. Seems to be pretty arbitrary.
Do yourself a favor, don’t add the pitches to the instrument name. Timpanists will appreciate it if you indicate the first pitch setup (so they know how many timpani they’ll need and how to setup before the start of the piece), and they will love you if you indicate which timpani should be retuned at which time. But if you don’t, they’ll figure it out themselves. Give us something to do besides counting rests (84, 2, 3, 4, 85, 2, 3, 4,…)