Was Monk's mother also OCD?

Question

In Mr. Monk and the Three Pies we meet Adrian's brother Ambrose. When Captain Stottlemeyer comes to Ambrose's house Ambrose gives him a cup of coffee with a number 6 on the mug.

Adrian explains that the number is to represent where the mug should go in the cupboard (between 5 and 7).

Was Monk's mother also OCD, that she needed to have the mugs in a certain order, or was Adrian's and Ambrose's need for order such that she numbered the mugs so that her two sons wouldn't have to agonize about which mug went where?

Update: From the transcript

00:35:06 Why is it numbered?
00:35:07 Mother numbered ..
00:35:09 So we'd always put them back in the right order.
00:35:11 Of course she did.

Answer 1

Ambrose had been living in that house for 32 years before this episode so it´s more plausible to understand that he established the order of the cups or more probably both brothers did when they were younger.

It´s true that the mother was supposed to have some mental issues as she was 'catatonic' (perhaps and exaggeration) for some time after their father left them.

Answer 2

No, Adrian developed OCD at a young age, which meant that he was the one who pu the numbers on the cups