There are several natural dewormers available.
I have talked with a couple horse people who claim this has worked for them:
http://www.verm-xusa.com/index.php
They make versions for various other animals.
This is what's in the 3 forms of horse 'medicine':
Powder ingredients include:
Allium Sativum (Garlic), Mentha Piperits (Peppermint),
Thymus Vulgaris (Common Thyme), Cinnamomum Zelandicum (Cinnamon),
Picrasma Excelsa (Quassia), Foeniculum Vulgare (Fennel),
Gallium Aperine (Cleavers), Urtica Dioica (
Nettle),
Ulmus Fulva (Slippery Elm), Inula Helenium (Elecampane.)
Pellets ingredients include:
Allium Sativum (Garlic), Mentha Piperita (Peppermint),
Thymus Vulgaris (Common Thyme), Cinnamomum Zelandicum (Cinnamon),
Picrasma Excelsa (Quassia), Foeniculum Vulgare (Fennel),
Gallium Aperine (Cleavers), Urtica Dioica (
Nettle),
Ulmus Fulva (Slippery Elm), Inula Helenium (Elecampane),
aniseed, micronised sugar beet pulp, seaweed meal,
dicalcium phosphate, molasses, equine anti-oxidant (Vitamin C.)
Liquid ingredients include:
Allium Sativum (Garlic), Mentha Piperits (Peppermint),
Thymus Vulgaris (Common Thyme), Cinnamomum Zelandicum (Cinnamon),
Picrasma Excelsa (Quassia), Foeniculum Vulgare (Fennel),
Gallium Aperine (Cleavers), Urtica Dioica (Nettle),
Ulmus Fulva (Slippery Elm), Inula Helenium (Elecampane.)
Most of those ingredients can either be grown at home, or easily purchased in bulk.