child is hapi

hapi = child (noun) (some things Google found for "hapi": a common term; Hapi Mari (aka Happy Martiage!?) is a Japanese manga series; HAPI drums; Hapi brand Asian snacks; HAPI is an Egyptian river god and an Egyptian funerary deity; a brand of Chinese beer from Harbin Brewery; HAPI is an acronym for Hispanic American Periodicals Index; an unusual last name; a rare first name; similar happi is a loose, informal Japanese coat; in Finnish similar happi means oxygen; Hapi Bolaghi is the name of a place in Iran)

Word derivation for "child"
Basque = haur, Finnish = lapsi
Miresua = hapi

Another Basque word for child (or offspring) is ume, which is also used for young animals.

The words child and children can be found in Alice's Adventures in Wonderland.

butterfly is pehinexa

pehinexa = butterfly (noun) (some things Google found for "pehinexa": an unique term; similar pexinxa occurs on a number of Brazilian bargain websites and may be a form of the Portuguese word pechincha which means bargain)

Word derivation for "butterfly"
Basque = tximeleta AND pinpilinpauxa
Finnish = perhonen
Miresua = pehinexa

Basque has multiple words for butterfly, perhaps they are from different dialects. I choose the two that seemed most common.

The word butterfly occurs just once in Alice's Adventures in Wonderland. Alice tells the Caterpillar that some day he'll change into a butterfly.

caterpillar is tolkar

tolkar = caterpillar (noun) (some things Google found for "tolkar": a common term; Tolkar Makina A. S. of Turkey sells commercial laundry machines; Tolkar Turismo (travel agency) of Tierra del Fuego, Argentina; an unusual last name; user names; present tense of the verb meaning to interpret in Swedish)

Word derivation for "caterpillar"
Basque = beldar, Finnish = toukka
Miresua = tolkar

In Finnish toukka means caterpillar and also larva. Another word for caterpillar is perhosentoukka, where perhosen means butterfly or moth.

The Hookah-Smoking Caterpillar is a character in Alice's Adventures in Wonderland.

cake is kartu

kartu = cake (noun) (some things Google found for "kartu": a very common term; a rare last name; user names; Kartu languages are a group of Australian Aboriginal languages of Western Australia; means card in Indonesian; means together in Lithuanian; name of places in Syria and Pakistan)

Word derivation for "cake"
Basque = tarta, Finnish = kakku
Miresua = kartu

Cake is a word that appears a handful of times in Alice's Adventures in Wonderland.

This Miresua conlang word has been changed. The word for cake is now tarku.

bottle is boulo

boulo = bottle (noun) (some things Google found for "boulo": an uncommon to common term; an unusual last name; a rare first name notably Haitian musician Boulo Valcourt; Ali Boulo Santo is a Senegalese musician; in the Star Wars universe Boulo Siesi was a female Bith artist character; similar boule from the French for ball is a traditional shape of French bread; name of places in the Central African Republic, Burkina Faso, Haiti and Togo)

Word derivation for "bottle"
Basque = botila, Finnish = pullo
Miresua = boulo

The word bottle can be found around ten times in Alice's Adventures in Wonderland.

truth is tegus

tegus = truth (noun) (some things Google found for "tegus": a common term; tegus are large lizards primarily found in South America which can be pets; a rare last name; in Esperanto conditional of the verb tegi which means to cover protectively; Tegucigalpa, commonly referred to as Tegus, is the capital of Honduras)

Word derivation for "truth (conformity to fact or reality) :
Basque = egia, Finnish = totuus
Miresua = tegus

garden is puratza

puratza = garden (noun) (some things Google found for "puratza": a very rare term; user name; in Sardinian may mean an tool for pruning; similar Puratz is a rare last name)

Word derivation for "garden" :
Basque = baratze (and lorategi), Finnish = puutarha
Miresua = puratza

In Basque I found two words that can mean garden. The word baratze means vegetable garden and lorategi means flower garden. The Finnish word puutarha seems to a be compound word of tree + enclosure.

rule is arätö

arätö = rule (noun) (some things Google found for "arato": a common term; an uncommon last name; an unusual generally masculine first name; Arato Castle in Japan; character Arato Endo in dystopia manga Beatless; in Hungarian similar arató means reaper, harvester; in Italian a form of the verb to plough or plow; name of places in Spain (Canary Islands), Japan and Mexico)

Word derivation for "rule (regulation)" :
Basque = arau, Finnish = sääntö
Miresua = arätö

I took the opportunity to use an ö (o umlaut) in my Miresua word.

You can find the word rule or rules around ten times in Alice's Adventures in Wonderland.

neck is leka

leka = neck (noun) (some things Google found for "leka": a very common term; an unusual last name; an unusual first name that is often masculine; name of several pretender princes to the Albanian throne; LEKA baby toys by IKEA; means sledgehammer in Finnish; means "drip, leak" in Icelandic; name of an island and municipality in Norway and multiple places in Poland)

Word derivation for "neck" :
Basque = lepo, Finnish = kaula
Miresua = leka

This is the word for the part of body and the tapered part of a bottle.

This Miresua conlang word has been changed. The word for neck is now laupo.

stairs is esparat

esparat = stairs (or staircase) (noun) (some things Google found for "esparat":an unusual term; L'Esparat is a restaraunt in Vogue, France; a very rare last name; Esparat (aka Esparat-e Bala and Esparat-e Pa'in) is the name of a place in Iran)

Word derivation for "stairs (or staircase)" :
Basque = eskailera, Finnish = portaat
Miresua = esparat

The Basque word is similar to the Spanish word for stairs, escalera.

I know that I'm not making profound progress, but I'm continuing to add words. I found four occurances of the word stairs in Alice's Adventures in Wonderland.

shelf is hypal

hypal = shelf (noun) (some things Google found for "hypal": an uncommon term; user names; name of a World of Warcraft gaming character; a rare last name; Le Prince Hypal is a convenience Store in Grasse, France; similar hyphal is an adjective for threadlike elements of a fungus; similar hypallage is a literary device which interchanges two elements in a phrase or sentence from a more logical to a less logical relationship)

Word derivation for "shelf" :
Basque = apal, Finnish = hylly
Miresua = hypal

The plural of shelf, shelves, occurs twice in Alice's Adventures in Wonderland.

bat is segako

segako = bat (noun) (some things Google found for "segako": a rare term; user names; a rare generally feminine first name that can be Japanese; a rare last name; SeGaKo food service and catering equipment of Hamburg, Germany; a World of Warcraft character name; Sega KO Drive (aka K.O. Drive by Sega) Video Racing Game)

Word derivation for "bat" :
Basque = saguzar, Finnish = lepakko
Miresua = segako

This is the word for the small flying mammal. The word bat occurs in Alice's Adventures in Wonderland. "Twinkle, twinkle, little bat! How I wonder what you're at!" starts a poem recited by the Mad Hatter.