直ぐに: immediately

straight, not bent

(obsolete) 過ぐ: classical form of modern 過ぎる (sugiru, “to go through, to go past; to exceed”)

(obsolete) 挿ぐ: classical form of modern 挿げる (sugeru, “to connect or affix one thing to another, especially by passing something through something else”)

直ぐ: immediately, right away, soon / 直ぐ: quick to / 直ぐ: right next to, right close by

a line of text / (mathematics) a row of a matrix / (calligraphy) Abbreviation of 行書 (“semi-cursive script”).

immediately, instantly

a straight temper line on a blade

(rare) male bear

(Classical Japanese, archaic) to pass; to go beyond / (Classical Japanese, archaic) to elapse; to exceed