The spelling of the word "take marriage" can be explained using the International Phonetic Alphabet. "Take" is spelled /teɪk/ which represents the sounds of the letter "t" /t/, the long "a" /eɪ/, and the letter "k" /k/. "Marriage" is spelled /ˈmærɪdʒ/ which represents the sounds of the letter "m" /m/, the short "a" /æ/, the letter "r" /r/, the letter "i" /ɪ/, the letter "a" again /æ/, the letter "g" /dʒ/. Together, these two words create the phrase "take marriage" with specific phonetic sounds for each letter.
The phrase take marriage does not have an established etymology because it is not a standardized or commonly used term. The word marriage itself, however, originates from the Latin word matrimonium, which is derived from matrimo, meaning mother.