The first few horse's I bred I tried to name by somehow combining the name of the sire and dam. A.G. Vanderbilt (breeder/owner of Native Dancer - Polynesian x Geisha) was a master at this type of name game. Here are a few of my attempts:

Sour Taste (Even Price x Lemon Bowl)
Skin Trade (Heartful Delight x Naked Legend)
Faint Hearted (Heartful Delight x Silly Love)
X Wife (X Factor x Silly Love)
Vapor Trail (Tender Value x Mild Tornado)

Since I live in Texas I now give them name's that are western oriented or related to Texas. Some of those are:

Stovepipe
Posse
Remington
Lakota
Trail Boss
Hill Country
Tarrant
Town Widow
Third Coast
Soiled Dove

No telling what my next naming sequence will be.