Is ちの a verb stem in ツリ目がちの?

Question

From 《君の名は。 (角川つばさ文庫) (新海 誠;ちーこ)》,

まだ十歳くらいか、ツインテールでツリ目がちの、生意気そうな子どもだ。

My inferred translation:

She was a kid with slanted eyes and a pony tail who looked like she was around 10 years old and cocky.

But I don't know what role ちの plays or how it changes my translation.

There is also no usage found for this vocab word on jisho: https://jisho.org/search/%E3%83%84%E3%83%AA%E7%9B%AE%20%23sentences

But I did find two usages for 目がち: https://jisho.org/search/%E7%9B%AE%E3%81%8C%E3%81%A1%20%23sentences

However, when I look up verbs for ち I can't seem to find anything that fits with eye (unless I am misunderstanding the sentence): https://jisho.org/search/%E3%81%A1%20

Answer 1

Thanks to Eiríkr Útlendi for guiding me to the answer. I will summarize it for everyone's convenience down below:

If you search がち but nothing appears in the dictionary, please make sure you include the Kanji.

がち stands for 勝ち which has the following definitions (weblio):

がち

［形動］《俗語。「がちんこ」から》真剣に。まじめに。本気で。「がちで頭にきた」 がち【勝ち】

［接尾］名詞や動詞の連用形に付く。

１ …が多い、…する傾きがある、…に傾きやすいなどの意を表す。「後れ勝ち」「病気勝ち」

２ それのほうが得をする意を表す。「早い者勝ち」

[補説] 1は、かなで書くことが多い。

With that being said, it would be safe to translate ツリ目がち to be with slanted eyes. This is further supported by Chocolate's related link (伏し目がち: (na-adj) with eyes downcast).

Hope this helps.