Professional Silk Weaving Gloves is crafted with Tailoring in Mabinogi (gloves). This page lists everything needed to make it, checked against the game as it exists today. The interactive planner lives in the Tailoring Companion.
How to get the sewing pattern
The sewing pattern is rank 6 and survives 30 uses; every crafting attempt spends one use.
Walter: Buy it from Walter's General Shop in Dunbarton. (5,000 gold). No special requirements, just gold.
Galvin: Buy a pattern from Galvin's shop under the Observatory in Emain Macha. (5,000 gold). None beyond having enough gold.
Granites: Buy a pattern from Granites's general store in southwest Filia. (5,000 gold). Elf-allied humans get a discount, other races pay full price.
Effie: Buy tailoring manuals directly from Effie's shop at Qilla Base Camp in Port Qilla (5,000 gold). Standard gold purchase, no special currency needed
Pierrick: Buy it from Pierrick at the general store in Taillteann. (5,000 gold). Prices drop five percent on Wednesdays from the weekly shop discount.
Ilsa: Buy a pattern from Ilsa's general store in Tara. (5,000 gold). None beyond having enough gold.
Sources that no longer exist: Beginner Gachapon (2012).
Materials
Expect about 1 attempt per finished item (100% average progress per attempt). Per-attempt materials are consumed on every attempt; finishing materials once per item.
Each attempt uses
1× Fine Fabric — weaving on a loom, low rank
Finishing (once per item)
1× Thin Thread Ball — Hot-Air Ballooning reward (6-10 stars) or gift from Simon