Pegasus was just a stallion with wings so if the offspring was born with wings and was male, it also would be a stallion with wings and could be called Pegasus after his father. If it was born with no wings but had a horn, it could be called a Unicorn. If it had wings and no horn and was female, it could be called Peggy. If it was male and born with wings and a horn, it could be called dick head among other things.
Pagases+Unicorn=
Uni means one. Corn is horn.
Pagases means freedom.
One horn+freedom.
Said like "freedom with one horn" translates to the reverse in lettering which is one horn of freedom=Uniagases. Pronounciations as "une" meaning one, "niag" meaning mixed/combined, and "gases" meaning breed of Pagases. Uneaigases