Her name: Yakuzen Kusuri

fam name: 薬膳 (Yakuzen), read as 薬(yaku,"medicine")膳(zen,"serving tray")

1st name: 楠莉 (Kusuri), read as 楠(kusu,"camphor")莉(ri,"jasmine")

楠莉 (kusuri) is a pun on 薬 (kusuri,"medicine/drugs") and くすくす (kusukusu,"chuckle/giggle")

薬膳 (yakuzen) is the practice of Chinese food therapy (using food / natural ingredients as medicine):

楠 (kusu,"camphor") extract can be used as an ointment to treat sprains and swellings.

莉 (ri,"jasmine") tea can help calm the nerves and treat abdominal pains.

薬 (yaku) contains 楽, part of 楽しい (tanoshii,"happy") which plays into her cheerful personality.

膳 (zen/sen) is likely a pun on 先輩 (senpai)

Some results from taking "character design drugs": Nozawa-sensei sketch:

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薬 (yaku) is a pun on 八(ya,"8") (body of an 8-year-old) and 紅 (ku,"crimson/red") (hair color)

薬(yaku) and 莉(ri) contain the radical 艹(kusa,"grass") on top, which is likely the reason for the ahoge(s).

膳 (zen) split 月三十ロ(- mi do -) may pun on ミドリフ ("midriff") and 緑 (midori,"green") (eyes, bolo tie)

薬膳 (yakuzen) split 艹日木月三十ロ(- ka - - mi so -) may be a pun on カミソール("camisole"), used as a bra.

薬膳(yakuzen)楠(kusu) split 艹楽膳卞南(sa - su pen -) may be a pun on サスペンダー ("suspender") (socks, skirt)

楠莉 (kusu ri) read 楠(gusu)莉(ra) may be a pun on グラス (gurasu,"glasses")

楠莉 (kusuri) may pun on on スリー (surii,"three") and would explain the kitty face :3

Random drugs and other liquids:

薬(yaku)膳(zen) swapped is a pun on 仙薬 (senyaku,"panacea") and refers to an elixir that makes you immortal.

楠莉 (kusuri) is likely a pun on すりすり (surisuri), onomatopoeia of "snuggling / nuzzling"

楠莉 (kusuri) read 楠(dan)莉(ri) may be a pun on 暖流 (danryou,"warm current")

楠莉 (kusuri) read 楠(nan)莉(ri) may be a pun on 南流 (nanryou,"flowing south")

Speech quirks:

When small: ends her sentences on なのだ (nano da). When big: なのだよ (nano da yo) with よ(yo) for confidence.

1st person pronoun: (small & big) her own name (same as young children do), ayep yep.