Correct spelling for the English word "brothership" is [bɹˈʌðəʃˌɪp], [bɹˈʌðəʃˌɪp], [b_ɹ_ˈʌ_ð_ə_ʃ_ˌɪ_p] (IPA phonetic alphabet).
The word "brothership" is a neologism formed by combining the word "brother" and the suffix "-ship". The etymology of "brother" can be traced back to the Old English word "broþor" which meant "male sibling" or "kinsman". This word is derived from the Proto-Germanic word "broþar" and is related to other Germanic languages such as Old High German "bruodor" and Old Norse "broðir".
The suffix "-ship" comes from the Old English "-scipe", which denoted the state or condition of being something, or the quality or condition of having a particular skill or characteristic. It is derived from the Proto-Germanic word "-skapaz" and can be related to the Old Norse "-skapr" and Old High German "-scaf".