Ed Barge began his work on the Tom & Jerry series in the mid-1940s. He draws them very conservatively (and dare I say, 'cutesy', particularly in his earliest work), and they tend to jerk from pose to pose, but still always establishing a good sense of characterization, similar to Friz Freleng's animators at Warners.
Barge handles Jerry's first two attempts at getting Tom to fall asleep.