Þorgerðr Hölgabrúðr and Irpa are two Norse goddesses who are associated with protection and healing. Þorgerðr is also known as the "bride of the holm" and is associated with sea spirits, while Irpa is associated with healing and the protection of children. Here are some offerings, incantations, divinations, stones, herbs, and items that can be used when working with Þorgerðr Hölgabrúðr and Irpa:

Offerings:

Sea shells: Sea shells are associated with the ocean and can be offered to Þorgerðr as a way of honoring her association with sea spirits.
Honey: Honey is associated with healing and vitality, and can be offered to Irpa as a way of honoring her role as a healer.
Milk: Milk is a symbol of nourishment and life, and can be offered to both Þorgerðr and Irpa as a way of honoring their roles as protectors and nurturers.
Incantations:

"Þorgerðr, bride of the holm, protect me from harm and shield me from danger."
"Irpa, goddess of healing, bring your soothing energy and aid in my recovery."
"Þorgerðr and Irpa, protectors of children, watch over my loved ones and keep them safe from harm."
Divinations:

Sea shell divination: Hold a sea shell and focus on your question. The shape or pattern on the shell can provide insight into your situation.
Pendulum divination: Hold a pendulum and ask a yes or no question. The movement of the pendulum can provide an answer.
Milk divination: Pour milk into a bowl, then swirl it around while focusing on your question. The shapes that form in the milk can provide insights into your situation.
Stones:

Aquamarine: Aquamarine is a stone of the ocean and can be used to connect with Þorgerðr's energy.
Malachite: Malachite is a stone of healing and can be used to connect with Irpa's energy.
Lapis Lazuli: Lapis Lazuli is a stone of protection and can be used to honor both Þorgerðr and Irpa's roles as protectors.
Herbs:

Sea kelp: Sea kelp is associated with the ocean and can be used to connect with Þorgerðr's energy.
Eucalyptus: Eucalyptus is a healing herb and can be used to honor Irpa's energy.
Chamomile: Chamomile is a calming herb that can be used to invoke both Þorgerðr and Irpa's nurturing energy.
Items:

Sea shells: Sea shells can be used as offerings or as decoration when working with Þorgerðr's energy.
Honey: Honey can be used as an offering or as a symbol of healing and vitality when working with Irpa's energy.
Milk: Milk can be used as an offering or as a symbol of nourishment and life when working with both Þorgerðr and Irpa's energy.
Physicalities of Þorgerðr Hölgabrúðr and Irpa

Þorgerðr Hölgabrúðr is often depicted as a fierce warrior goddess, wearing armor and carrying a sword or spear. She is also associated with sea spirits and is sometimes shown with a mermaid-like tail. Irpa is typically depicted as a gentle and nurturing goddess, wearing a flowing dress or tunic and carrying healing herbs or flowers.

Symbols:

Swords and spears: These weapons are often depicted in images of Þorgerðr, symbolizing her role as a fierce protector.
Sea shells: Sea shells are associated with Þorgerðr's association with sea spirits and can be used as a symbol or offering.
Healing herbs and flowers: These symbols are associated with Irpa's role as a healer and protector of children.
Offering items:

Sea shells: Sea shells can be used as offerings or as decoration when working with Þorgerðr's energy.
Honey: Honey can be used as an offering or as a symbol of healing and vitality when working with Irpa's energy.
Milk: Milk can be used as an offering or as a symbol of nourishment and life when working with both Þorgerðr and Irpa's energy.
Clothing and Jewelry:

Þorgerðr is often depicted wearing armor and carrying weapons, while Irpa is shown wearing a simple dress or tunic. Both goddesses may wear simple jewelry, such as bracelets or necklaces.

Hair and Tattoos:

There is no mention of specific hairstyles or tattoos associated with Þorgerðr and Irpa in Norse mythology.

Tarot card and constellation:

There is no specific tarot card or constellation associated with Þorgerðr and Irpa in Norse mythology.

Story of Þorgerðr Hölgabrúðr:

In Norse mythology, Þorgerðr is said to have been a powerful warrior goddess who fought alongside the legendary hero, King Olaf Tryggvason. According to the story, when Olaf was surrounded by his enemies, Þorgerðr appeared on the battlefield, riding a wolf and wearing a suit of armor. She fought alongside Olaf and helped him to emerge victorious.

After the battle, Þorgerðr disappeared and was never seen again. Some legends suggest that she returned to her underwater realm, while others believe that she ascended to Valhalla to live among the other warriors.

The story of Þorgerðr highlights her fierce warrior spirit and her association with sea spirits, as well as her willingness to fight for what she believes in.