From left to right: 

The basic heraldic rose- when this is blazoned proper, it is gules, leaved vert, and seeded or, but it may be of any tincture

Rose slipped and leaved

The Tudor Rose- adopted by Henry VII as a symbol of his York and Lancaster heritage. The leaves are vert, the larger rose gules, the smaller argent, and the seeds in the center or.

To classic fable we are indebted for very many of the fictitious animals which heralds have introduced into coats armorial.

Fictitious and Symbolic Creatures in Art, by John Vinycomb, p4

No person, when heraldry was in its greatest repute, dared assume any cognizance or bearing without permission of the Earl Marshal or the Kings-at-Arms. Any individuals, who presumed, by assumption, to offend the laws of the court of honour, were liable to heavy fines and personal duresse, which in many instances have been rigidly enforced.

From The Manual of Heraldry, 5th Edition by Anonymous, p132