i remember seeing Jimmy Durante on t.v. and my mom saying that I should pay attention and remember the man because he had been an
important entertainer (I presume she meant he probably would not
be around much longer as he was quite old at the time.) It might
have been on Ed Sullivan show. here is a clip of Mrs. Miller
singing Inky dinky Doo with him (she says he can call her Elva)

i could not find a clip of him doing skin-a-ma-rink or skid-a-ma-rink