When I use という to-iu, for example:
これと同{おな}じ「草{くさ}」というものがここに生{は}えますか？
Kore to onaji “kusa” to-iu mono ga kokoni haemasu ka?Does something like this so-called “grass” grow around here?
Should I replace いう for “申す mōsu” “申し上げる mōshiageru” or “おっしゃる ossharu” if I use honorifics form?
Are these words interchangeable in all situations? If not, when do I use each?
-Jerbot
No, because it's not an action that you or the listener does. If anything, the action is done by mankind and you don't need to respect mankind ;) Similarly for e.g. 関西でよく食べられる明石焼をご存知ですか？. Here, the verb know is changed to show respect, but not the verb eat.
If the action is performed by a group you need to show respect, that's a different story. E.g.
天皇陛下が好んで召し上がった饅頭はどれですか？
社長がフロッピーと呼んでおられたのは何ですか？
御社でお使いになっているソフトは何ですか？
Another exception is if you are a royalty or something (at least that's how it's depicted in some films etc.)
サンマと申すものを持って参れ
Here, mankind is below you so you change the verb.
