R. Zalman Nehemiah mentions that there was a rumor that R. Goren was going to be engaged with the granddaughter of R. Isser Zalman Meltzer, and when this turned out to be incorrect R. Isser Zalman was very upset and was comforted by R. Aryeh Levin…
R. [Shlomo] Goren mentions that since his father was a Gur Hasid he had to get the approval of the Rebbe, who for one reason or another was not enthusiastic about the match, meaning that there could be no shiddukh. R. Goren mentions that the woman who was suggested for him ended up marrying a great rabbi, but the marriage ended in divorce.[5]
The woman proposed for R. Goren was none other than R. Aharon Kotler’s daughter, who went on to marry R. Dov Schwartzman. It makes sense that R. Kotler would be interested in R. Goren, as he would have heard from his father-in-law, R. Isser Zalman Meltzer, about the great illui, R. Shlomo Gorontchik.