T-SQL (SS2K8) :: Cannot Define Primary Key Constraint On Nullable Column But Column Not Null

We have a database where many tables have a field that has to be lengthened. In some cases this is a primary key or part of a primary key. The table in question is:-

/****** Object: Table [dbo].[DTb_HWSQueueMonthEnd] Script Date: 09/25/2014 14:05:09 ******/
SET ANSI_NULLS ON
GO
SET QUOTED_IDENTIFIER ON
GO
SET ANSI_PADDING ON
GO
CREATE TABLE [dbo].[DTb_HWSQueueMonthEnd](

[Code] ....

The script I am using is

DECLARE@Column varchar(100)--The name of the column to change
DECLARE@size varchar(5)--The new size of the column
DECLARE @TSQL varchar(255)--Contains the code to be executed
DECLARE @Object varchar(50)--Holds the name of the table
DECLARE @dropc varchar(255)-- Drop constraint script

[Code] ....

When I the the script I get the error message Could not create constraint. See previous errors.

Looking at the strings I build

ALTER TABLE [dbo].[DTb_HWSQueueMonthEnd] DROP CONSTRAINT PK_DTb_HWSQueueMonthEnd
ALTER TABLE [dbo].[DTb_HWSQueueMonthEnd] Alter Column [Patient System Number] varchar(10)
ALTER TABLE [dbo].[DTb_HWSQueueMonthEnd] ADD CONSTRAINT PK_DTb_HWSQueueMonthEnd PRIMARY KEY NONCLUSTERED ([Patient System Number] ASC,[Episode Number] ASC,[CensusDate] ASC)
WITH (PAD_INDEX = OFF, STATISTICS_NORECOMPUTE = OFF, SORT_IN_TEMPDB = OFF, IGNORE_DUP_KEY = OFF, ONLINE = OFF, ALLOW_ROW_LOCKS = ON, ALLOW_PAGE_LOCKS = ON) ON [PRIMARY]

They all seem fine except the last one which returns the error

Msg 8111, Level 16, State 1, Line 1
Cannot define PRIMARY KEY constraint on nullable column in table 'DTb_HWSQueueMonthEnd'.
Msg 1750, Level 16, State 0, Line 1
Could not create constraint. See previous errors.

None of the fields I try to create the key on are nullable.