Allama Iqbal (1877-1938) misjudged Maududi (1903-1979) as a Qur'anic mind and found for him a job in an Islamic institution at Pathankot, India in the 1930s. But Mullah Maududi had preached the N2I (The Number Two, Mullah-oriented, Ritualistic and Fatalistic Islam) since 1927. You are right that Allama Iqbal died in 1938 and Maududi moved to Pakistan in 1947.
He had founded Jamaat Islami in 1941 and earned his living in Lahore, Pakistan as a writer, politician and chairman of his own party. I doubt that he was ever a guest of Allama G.A. Parwez (1903-1985) who lived in Karachi from 1947 to 1960.