After trading the 32nd overall pick on Thursday night to the Baltimore Ravens, who used it on Louisville quarterback Lamar Jackson, the Philadelphia Eagles traded up to select South Dakota State tight end Dallas Goedert.

With the second round’s 15th pick, the Arizona Cardinals took Texas A&M wide receiver Christian Kirk. A native of the Phoenix area, Kirk went lower than many expected. He is seen as a complement to, and perhaps an eventual successor to, Larry Fitzgerald, the heart of the Cardinals franchise. It is not clear whether Kirk will catch his first pass from Josh Rosen, the U.C.L.A. quarterback whom the Cardinals picked 10th over all on Thursday, or from the veteran Sam Bradford.

Derrius Guice, the Louisiana State running back considered one of the biggest talents at his position, fell to nearly the end of the second round, the 59th overall pick, partly because of reports about unspecified off-field problems. The Washington Redskins decided to take a chance on him.

The final pick of the second round was slated to go to the Browns, but they traded it to the Colts, who picked Tyquan Lewis, a defensive end from Ohio State. It was the Colts’ fifth pick of the first two rounds — all but one of which was an offensive or defensive lineman.

The Browns, of course, are the story of this draft. They picked first over all on Thursday night for the second year in a row, and took Mayfield, the most recent Heisman Trophy winner and one of four quarterbacks to go in the first 10th picks, and fourth over all, adding Ward. Browns Coach Hue Jackson said Thursday that Tyrod Taylor, the quarterback acquired in a trade with the Buffalo Bills, would be the presumptive starter this season.

The Browns are used to picking high, which illustrates a larger point about the franchise: It has a poor track record of converting enviable draft positions into star players. Recent first-round busts include running back Trent Richardson and quarterbacks Brady Quinn, Brandon Weeden and Johnny Manziel. It helps explain why the Browns have finished with just one winning record since the 2002 season, which was the last time they made the playoffs.