where did it gets its name from?
German chemist, "Johann Schweigger" proposed that the name "halogen" – meaning "salt producer".
Halogen
In 1811, the German chemist Johann Schweigger proposed that the name "halogen" – meaning "salt producer", from αλς [als] "salt" and γενειν [genein] "to beget" – replace the name "chlorine", which had been proposed by the English chemist Humphry Davy. 
what family is iodine in on the periodic table It is the fourth halogen and a member of group 17 in the periodic table. what is this mentioned member? Halogens are a group in the periodic table consisting of five chemically related elements: fluorine, chlorine, bromine, iodine, and astatine.
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Halogen [SEP] Etymology
In 1811, the German chemist Johann Schweigger proposed that the name "halogen" – meaning "salt producer", from αλς [als] "salt" and γενειν [genein] "to beget" – replace the name "chlorine", which had been proposed by the English chemist Humphry Davy. Davy's name for the element prevailed. However, in 1826, the Swedish chemist Baron Jöns Jacob Berzelius proposed the term "halogen" for the elements fluorine, chlorine, and iodine, which produce a sea-salt-like substance when they form a compound with an alkaline metal. The names of the elements all have the ending -ine. Fluorine's name comes from the Latin word "fluere", meaning "to flow", because it was derived from the mineral fluorospar, which was used as a flux in metalworking.