Hey gilled, welcome to the forum.
Yes. First symptom of Hashimoto's (Autoimmune Thyroiditis) is Goitre.
There's a study that links Hashimoto's with
Polycystic Ovary Syndrome (PCOS).
Janssen, OE et al, High prevalence of autoimmune thyroiditis in patients with polycystic ovary syndrome, Eur J Endocrinol. 2004 Mar;150(3):363-9
Take care,
Niko