Correct spelling for the English word "hath gander" is [haθ ɡˈandə], [haθ ɡˈandə], [h_a_θ ɡ_ˈa_n_d_ə] (IPA phonetic alphabet).
The phrase "hath gander" is a play on words, combining the verbs "have" and "gander" with a slight alteration. However, it does not have a specific etymology as it is not a commonly used or recognized phrase in English. "Hath" is an archaic form of the verb "have" used mainly in Middle English and Early Modern English. "Gander" means a male goose. So, "hath gander" could be interpreted as "have a gander", which means to take a look or have a brief look around.