What Murray said.

Flanders and Swann were masters at this--most notably in "The Hippopotamus Song," e.g.
"The fair hippotama he aimed to entice..."
rhymed with
"As she hadn't got a ma to give her advice."

In the popular vein, Cole Porter was a grand master of these embedded rhymes and closely matched meter -- usually not seeming forced and sometimes seeming whimsical.

Homer and Jethro, on the other hand, often had rhymes so ridiculously forced that I groaned. (Maybe that was part of their charm.)

Re other problems with ineloquent rhymes, there's Neil Diamond's "...Songs she sang to me, songs she brang to me ..."!

And how about Sting's rhyming "apprentice" with "Charybdis" ("Wrapped Around Your Finger")?

Also, sometimes a REAL rhyme is both so obvious and so OVERUSED that I think if one more songwriter uses it, I'll scream! "Waiting" closely followed by "anticipating" is high on my list.

Genie