This is a widespread issue amongst binomial names. Only the full binomial name has to be unique in nomenclature, and therefore many genera contain different organisms with the same specific epithet. As Remi.b has already mentioned, two organisms with binomial names that have the same species but different genus are very likely more different from each other than two organisms that share a genus but have a different specific epithet.
For example, the Wikipedia page on the specific epithet "Officinalis" lists dozens of organisms with a variant of that specific epithet conforming to the Latin declension of its genus.
This list consists of organisms which are completely unrelated to each other, containing fungi, plants and animals.
Althaea officinalis (marshmallow)
Anchusa officinalis (bugloss)
Archangelica officinalis (angelica)
Asparagus officinalis (asparagus)
Avicennia officinalis (mangrove)
Bistorta officinalis (European bistort)
Borago officinalis (borage)
Buddleja officinalis (pole butterflybush)
Calendula officinalis (pot marigold)
Cinchona officinalis (quinine)
Cochlearia officinalis (scurvygrass)
Corallina officinalis (a seaweed)
Cornus officinalis (cornelian cherry)
Cyathula officinalis (ox knee)
Cynoglossum officinale (houndstongue)
Euphrasia officinalis (eyebright)
Fumaria officinalis (fumitory)
Galega officinalis (goat's rue)
Gratiola officinalis (hedge hyssop)
Guaiacum officinale (lignum vitae)
Hyssopus officinalis (hyssop)
Jasminum officinale (jasmine)
Laricifomes officinalis (a wood fungus)
Lavandula officinalis (lavender)
Levisticum officinale (lovage)
Lithospermum officinale (gromwell)
Magnolia officinalis (magnolia)
Melilotus officinalis (ribbed melilot)
Melissa officinalis (lemon balm)
Morinda officinalis (Indian mulberry)
Nasturtium officinale (watercress)
Paeonia officinalis (common paeony)
Parietaria officinalis (upright pellitory)
Primula officinalis (cowslip)
Pulmonaria officinalis (lungwort)
Rheum officinale (a rhubarb)
Rosa gallica 'Officinalis' (apothecary rose)
Rosmarinus officinalis (rosemary)
Salvia officinalis (sage)
Sanguisorba officinalis (great burnet)
Saponaria officinalis (soapwort)
Sepia officinalis (cuttlefish)
Sisymbrium officinale (hedge mustard)
Spongia officinalis (bath sponge)
Stachys officinalis (betony)
Styrax officinalis (drug snowbell)
Symphytum officinale (comfrey)
Taraxacum officinale (dandelion)
Tormentilla officinalis (tormentil)
Valeriana officinalis (valerian)
Verbena officinalis (vervain)
Veronica officinalis (speedwell)
Zingiber officinale (ginger)