杉木さんとこの is semantically the same as 杉木さんのところの ("of Sugiki's family").
- とこ is colloquialism for ところ ("place", or in this case "house" or "family").
- The particle の before ところ often turns into ん in speech (e.g., 彼のとこ → 彼んとこ, あいつのとこ → あいつんとこ), but when there is already ん before it, the double ん will be contracted to single ん. For example 奥さんのとこ(ろ) contracts to 奥さんとこ, not 奥さんんとこ .