I have a story in the current (7th April) issue of The weekly News (TWN). Of course I'm always pleased to have a story accepted, but a TWN acceptance brought me the greatest joy as it was my first ever. That was back in 2005. (And today sees my very first publication in The People's Friend!)
TWN is open to submissions of 1,200 to 1,500 word stories, from all writers, whether or not they've sold stories previously. They usually publish two each week, but ocassionally use a few more. The publication is actually a newspaper, not a womag, which is important in several ways – the stories aren't always aimed at women and don't always feel typically womaggy, no ALCS is paid on published stories, and you'll need to look for it amongst the papers in most newsagents.
If you click on 'The Weekly News' immediately below this post, you'll find lots more information on TWN and the type of stories they're looking for, but I also strongly suggest reading a few current issues. You may need to ask your newsagent to reserve copies for you (a good thing to do as anything which prompts more sales is in the best interests of all womag writers).
Submissions are not acknowledged (a shame as at one time an automated response was sent after each submission – I do wish that would be reinstated). There isn't a dedicated fiction editor for TWN; submissions read by the fiction team for The People's Friend (PF). For more detail on this, see the response by Shirley Blair (head of PF fiction team) to this post.
If no response is recieved within three months, the story has not been accepted and you're free to submit it elsewhere.
Occasionally a rewrite will be requested. In this case, you'll be told which changes are wanted and it's your choice whether you make them or withdraw the story. There's no guarantee the rewrite will be accepted, but there's a good chance of that happening.
If/when the story is accepted, you'll be emailed with that information, plus the intended publication date. If you've not previously signed a contract with DC Thomson then you'll be requested to do so. (As with every contract, please do read it and be sure you understand and agree before signing!). You'll also need to provide your bank details (nothing confidential – just what they need to make payment).
No complimentary copies are sent (very few publishers now have the resources to do this).
Payment is made soon after publication. You'll be emailed a 'self billed PO' and a 'remittance advice' with the details shortly before the money arives in your bank account. (I don't post payment rates for any markets on this blog unless the publishers make them public knowledge as in some cases rates vary and/or our contracts prohibit this.)
Whilst searching for information online, I came across this history of The weekly News, which you might find interesting.