To dispose of old black fiberglass tissues without harming the environment, follow these steps: First, check your local waste disposal regulations as they may have specific guidelines for hazardous materials. If fiberglass is considered hazardous in your area, contact a professional waste disposal service that specializes in hazardous waste. If not, you can dispose of it in a designated landfill or recycling facility. Avoid burning the tissues as it can release toxic fumes. Always handle the tissues with gloves to protect your skin and avoid inhaling fibers. Encourage recycling when possible, as this can reduce the environmental impact.