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The secretary is entitled to receive reasonable notice or pay in lieu of notice.
Generally, in determining what is reasonable notice Courts look at several factors including the length of time they worked for the employer, their age, position, the likelihood of finding new employment etc.
At the high end, if the secretary was in a managerial position, the Court would likely order one month's notice or pay in lieu of notice for each year of employment. If the secretary was not in a managerial position the Court would order somewhat less.
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It is likely the case that the court would base her week's pay on her income during the past 5 years.
But 11 weeks would not be considered enough. It is possible she could get much more. It could be close to a year's pay at part-time wages.
So it may be best to retain an employment lawyer to assist you in negotiating with her.
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