5 players are tied for the most rushing touchdowns by a Browns quarterback in a game, with 2 touchdowns. The first three are Brian Sipe on November 3, 1974 and on October 27, 1974, Mike Phipps on October 21, 1973 and Milt Plum on December 7, 1958.

most rushing touchdowns by a qb in a game on cleveland browns
Interpreted as:
most rushing touchdowns by a qb in a regular-season game on cleveland browns

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