Can you tell more about the words used after fell. For example. In the sentence
The plan fell __ for the want of support.
What do we use?
The plan fell through for the want of support.
Fall through: to not be completed, or not happen
Our plans fell through because of lack of money.
See more phrasal verbs on the same source: Oxford Advanced Learner's Dictionary.
The plan fell flat for the want of support.
Source: follow the link in Mori's answer.