I've just been informed that there's a slight error in the first line.
Here's a re-write:
My daddy’s a puppet, a comic amputeeA big, black egg-breaker, legless me?
A very busy bugger, I'll have to eat on the fly;
Speaking when older, my words . . . die.
I’m head and tails above the rest
Who lurk below with a hungry breast.
I’m in a half-way house expecting to grow
In leaps and bounds, until best in show.
I'm a "bit of a post" in a murky sea,
Please, oh please,
Lend a name to me!