This probably not what you want to hear but have you tried advertising in your local paper or magazines? Do you have local craft/art shows in your area that you can exhibit in? While your site is great and your product is great, you do mostly work with dogs. Can you make up some more pictures of labels/cards with babies, couples, etc? If you exhibit in local shows, you can show these as well. Have a binder available with your work.
With wedding season coming up, I would think you do great! Labels alone for the invitiations, response cards and the married couple-thank you cards would be a market to go after.

or "save the date" cards.
And then of course baby showers--thank you cards with pictures of the newborn in the labels or cards.
Unfortunately, it takes money to make money...I'm finding that out myself as I am getting ready to start a website of my own.

Good luck. B